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.
[12.779, 36.006, -54.773, -3.923, 135.281, 161.872, 2.501, 239.616, 27.723, 204.564]