Hold on or Let go

My boyfriend and I have been together for 3 years, however, they have been a rocky 3 years. We love each other very much, but our differences often get the best of us. We are currently taking some time a part to better ourselves, but I fear that we just aren't meant to be, and I want to have a healthy relationship more than anything, but psychics, fortune tellers, and online quizzes have all told me that we are just not compatible.
Should I listen to this, or fight to make my relationship work?