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Finding the Fourth Proportional to 2,248.30, 3,372.70 and 862.81

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Solution

The fourth proportional to 2,248.30, 3,372.70 and 862.81 is: 1,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.30 : 3,372.70 = 862.81 : x
  2. Step 2: Convert to fraction form
    2,248.30/3,372.70 = 862.81/x
  3. Step 3: Cross multiply
    2,248.30x = 3,372.70 × 862.81
  4. Step 4: Simplify right side
    2,248.30x = 2,910,003.40
  5. Step 5: Solve for x
    x = 2,910,003.40/2,248.30
  6. Step 6: Final answer
    x = 1,294.31

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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.