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Finding the Fourth Proportional to 1,787.27, 2,682.57 and 1,265.78

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Solution

The fourth proportional to 1,787.27, 2,682.57 and 1,265.78 is: 1,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.27 : 2,682.57 = 1,265.78 : x
  2. Step 2: Convert to fraction form
    1,787.27/2,682.57 = 1,265.78/x
  3. Step 3: Cross multiply
    1,787.27x = 2,682.57 × 1,265.78
  4. Step 4: Simplify right side
    1,787.27x = 3,395,532.70
  5. Step 5: Solve for x
    x = 3,395,532.70/1,787.27
  6. Step 6: Final answer
    x = 1,899.85

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