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Finding the Fourth Proportional to 2,248.26, 3,372.61 and 862.75

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Solution

The fourth proportional to 2,248.26, 3,372.61 and 862.75 is: 1,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.26 : 3,372.61 = 862.75 : x
  2. Step 2: Convert to fraction form
    2,248.26/3,372.61 = 862.75/x
  3. Step 3: Cross multiply
    2,248.26x = 3,372.61 × 862.75
  4. Step 4: Simplify right side
    2,248.26x = 2,909,725.38
  5. Step 5: Solve for x
    x = 2,909,725.38/2,248.26
  6. Step 6: Final answer
    x = 1,294.21

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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.