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Finding the Fourth Proportional to 2,269.20, 3,402.52 and 787.73

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Solution

The fourth proportional to 2,269.20, 3,402.52 and 787.73 is: 1,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.20 : 3,402.52 = 787.73 : x
  2. Step 2: Convert to fraction form
    2,269.20/3,402.52 = 787.73/x
  3. Step 3: Cross multiply
    2,269.20x = 3,402.52 × 787.73
  4. Step 4: Simplify right side
    2,269.20x = 2,680,267.08
  5. Step 5: Solve for x
    x = 2,680,267.08/2,269.20
  6. Step 6: Final answer
    x = 1,181.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.