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Finding the Fourth Proportional to 2,269.68, 3,404.16 and 731.04

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Solution

The fourth proportional to 2,269.68, 3,404.16 and 731.04 is: 1,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.68 : 3,404.16 = 731.04 : x
  2. Step 2: Convert to fraction form
    2,269.68/3,404.16 = 731.04/x
  3. Step 3: Cross multiply
    2,269.68x = 3,404.16 × 731.04
  4. Step 4: Simplify right side
    2,269.68x = 2,488,577.13
  5. Step 5: Solve for x
    x = 2,488,577.13/2,269.68
  6. Step 6: Final answer
    x = 1,096.44

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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.