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.
[28.619, -49.371, 58.727, 72.962, 71.088, 86.975, 131.944, 89.611, 77.896, 25.583]