In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[-54.328, -62.494, -81.931, 47.967, 60.179, 8.126, 38.347, -40.685, -27.755, 7.78]