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Finding the Fourth Proportional to 2,248.91, 3,372.25 and 787.85

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Solution

The fourth proportional to 2,248.91, 3,372.25 and 787.85 is: 1,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.91 : 3,372.25 = 787.85 : x
  2. Step 2: Convert to fraction form
    2,248.91/3,372.25 = 787.85/x
  3. Step 3: Cross multiply
    2,248.91x = 3,372.25 × 787.85
  4. Step 4: Simplify right side
    2,248.91x = 2,656,827.16
  5. Step 5: Solve for x
    x = 2,656,827.16/2,248.91
  6. Step 6: Final answer
    x = 1,181.38

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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.