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Finding the Fourth Proportional to 2,564.75, 3,840.91 and 1,465.78

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Solution

The fourth proportional to 2,564.75, 3,840.91 and 1,465.78 is: 2,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.75 : 3,840.91 = 1,465.78 : x
  2. Step 2: Convert to fraction form
    2,564.75/3,840.91 = 1,465.78/x
  3. Step 3: Cross multiply
    2,564.75x = 3,840.91 × 1,465.78
  4. Step 4: Simplify right side
    2,564.75x = 5,629,929.06
  5. Step 5: Solve for x
    x = 5,629,929.06/2,564.75
  6. Step 6: Final answer
    x = 2,195.12

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