In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

Example Input: 2, 4, ['X', 'o', '8807', 'r', 'q', '825']
Example Output: 8807

Example Input: 1, 7, ['173', '5875', 'C', '7417', '3565', '1949', '537', '7707', 'o', 'y']
Example Output: 19516

Example Input: 2, 4, ['g', '931', '2233', 'd']
Example Output:
3164