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Finding the Fourth Proportional to 1,787.40, 2,468.61 and 1,229.58

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Solution

The fourth proportional to 1,787.40, 2,468.61 and 1,229.58 is: 1,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.40 : 2,468.61 = 1,229.58 : x
  2. Step 2: Convert to fraction form
    1,787.40/2,468.61 = 1,229.58/x
  3. Step 3: Cross multiply
    1,787.40x = 2,468.61 × 1,229.58
  4. Step 4: Simplify right side
    1,787.40x = 3,035,353.48
  5. Step 5: Solve for x
    x = 3,035,353.48/1,787.40
  6. Step 6: Final answer
    x = 1,698.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.