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Finding the Fourth Proportional to 1,787.34, 2,468.46 and 1,229.28

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Solution

The fourth proportional to 1,787.34, 2,468.46 and 1,229.28 is: 1,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.34 : 2,468.46 = 1,229.28 : x
  2. Step 2: Convert to fraction form
    1,787.34/2,468.46 = 1,229.28/x
  3. Step 3: Cross multiply
    1,787.34x = 2,468.46 × 1,229.28
  4. Step 4: Simplify right side
    1,787.34x = 3,034,428.51
  5. Step 5: Solve for x
    x = 3,034,428.51/1,787.34
  6. Step 6: Final answer
    x = 1,697.73

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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.