How to Improve Alexa Ranking of Real Estate Website?

I think there is not any specific metric to increase category wise alexa ranking. Keep doing quality work for your site, increase traiffic, do social media activities, etc.

Seo and social meadia activity is best for increase website ranking

Invest in PPC and Google Adwords campaigns. This is a great way to bring in a lot of targeted traffic and get many visitors that can perhaps be interested in your site

SEO is the Best Way ti Increase Traffic & Sales On you Website

Do Local Listing and Classifieds

Through the Real estate website, we can easily get the complete information about price, units, location ad features. but it depends on which real estate site we are searching. for getting the best alexa rank, we need to do proper SEO activities.
SEO is a wide area, but mainly devided in two broad categories like ON page optimization and Off Page Optimization.

Promote your site every where as possible like classifieds sites and social media network... Create genuine profile in social profile creation sites.

yes, its improving,,,

It's been about two months since your original question. Has the rank improved at all? If so, what did you which might've made the difference?

Stumbleupon can help you increase in alexa rank.

use classifieds sites and social media network...

Promote your website thorough social site ........

Did you mean "suddenly decreased"?
1. If yes, Download Alexa toolbar and install it to your browser.
2. Browse your site everyday through that browser.
3. Ask your friends too to do this.

Do Post in all Social Networks

Promote your website through social media website, do blog commenting, Social bookmarking and blog creation.

Add pages to the website, do seo, social media, stumbleupon paid activites. Or you can contact ethonindia.com for more details