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Finding the Fourth Proportional to 2,248.54, 3,372.87 and 787.84

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Solution

The fourth proportional to 2,248.54, 3,372.87 and 787.84 is: 1,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.54 : 3,372.87 = 787.84 : x
  2. Step 2: Convert to fraction form
    2,248.54/3,372.87 = 787.84/x
  3. Step 3: Cross multiply
    2,248.54x = 3,372.87 × 787.84
  4. Step 4: Simplify right side
    2,248.54x = 2,657,281.90
  5. Step 5: Solve for x
    x = 2,657,281.90/2,248.54
  6. Step 6: Final answer
    x = 1,181.78

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Why These Related Problems?

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