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Finding the Fourth Proportional to 1,787.28, 2,467.12 and 1,600.44

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Solution

The fourth proportional to 1,787.28, 2,467.12 and 1,600.44 is: 2,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.28 : 2,467.12 = 1,600.44 : x
  2. Step 2: Convert to fraction form
    1,787.28/2,467.12 = 1,600.44/x
  3. Step 3: Cross multiply
    1,787.28x = 2,467.12 × 1,600.44
  4. Step 4: Simplify right side
    1,787.28x = 3,948,477.53
  5. Step 5: Solve for x
    x = 3,948,477.53/1,787.28
  6. Step 6: Final answer
    x = 2,209.21

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