Hey there! Hello!

So, for this problem, we need to find the missing fourth of the total amount of students. We have three fourths already, represented by 1464.

If 1464 is three parts of four, all we need to do is divide the number by 3 to get 488. This represents 25% of the total number of students, or the remaining 1/4. 

If you add 488 to 1464, you get 1952. This represents the total number of students. You can check by multiplying 1464 by 0.25, yielding 488. 

Hope this helped you out! Feel free to ask any additional questions if you need further clarification. 🙂