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Finding the Fourth Proportional to 2,578.64, 3,868.68 and 1,017.68

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Solution

The fourth proportional to 2,578.64, 3,868.68 and 1,017.68 is: 1,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.64 : 3,868.68 = 1,017.68 : x
  2. Step 2: Convert to fraction form
    2,578.64/3,868.68 = 1,017.68/x
  3. Step 3: Cross multiply
    2,578.64x = 3,868.68 × 1,017.68
  4. Step 4: Simplify right side
    2,578.64x = 3,937,078.26
  5. Step 5: Solve for x
    x = 3,937,078.26/2,578.64
  6. Step 6: Final answer
    x = 1,526.80

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