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Finding the Fourth Proportional to 2,248.80, 3,372.45 and 787.60

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Solution

The fourth proportional to 2,248.80, 3,372.45 and 787.60 is: 1,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.80 : 3,372.45 = 787.60 : x
  2. Step 2: Convert to fraction form
    2,248.80/3,372.45 = 787.60/x
  3. Step 3: Cross multiply
    2,248.80x = 3,372.45 × 787.60
  4. Step 4: Simplify right side
    2,248.80x = 2,656,142.88
  5. Step 5: Solve for x
    x = 2,656,142.88/2,248.80
  6. Step 6: Final answer
    x = 1,181.14

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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.