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Finding the Fourth Proportional to 2,248.13, 3,372.73 and 709.13

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Solution

The fourth proportional to 2,248.13, 3,372.73 and 709.13 is: 1,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.13 : 3,372.73 = 709.13 : x
  2. Step 2: Convert to fraction form
    2,248.13/3,372.73 = 709.13/x
  3. Step 3: Cross multiply
    2,248.13x = 3,372.73 × 709.13
  4. Step 4: Simplify right side
    2,248.13x = 2,391,704.02
  5. Step 5: Solve for x
    x = 2,391,704.02/2,248.13
  6. Step 6: Final answer
    x = 1,063.86

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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.