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Finding the Fourth Proportional to 1,787.67, 2,468.88 and 1,640.25

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Solution

The fourth proportional to 1,787.67, 2,468.88 and 1,640.25 is: 2,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.67 : 2,468.88 = 1,640.25 : x
  2. Step 2: Convert to fraction form
    1,787.67/2,468.88 = 1,640.25/x
  3. Step 3: Cross multiply
    1,787.67x = 2,468.88 × 1,640.25
  4. Step 4: Simplify right side
    1,787.67x = 4,049,580.42
  5. Step 5: Solve for x
    x = 4,049,580.42/1,787.67
  6. Step 6: Final answer
    x = 2,265.28

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