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Finding the Fourth Proportional to 2,269.64, 3,404.46 and 731.72

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Solution

The fourth proportional to 2,269.64, 3,404.46 and 731.72 is: 1,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.64 : 3,404.46 = 731.72 : x
  2. Step 2: Convert to fraction form
    2,269.64/3,404.46 = 731.72/x
  3. Step 3: Cross multiply
    2,269.64x = 3,404.46 × 731.72
  4. Step 4: Simplify right side
    2,269.64x = 2,491,111.47
  5. Step 5: Solve for x
    x = 2,491,111.47/2,269.64
  6. Step 6: Final answer
    x = 1,097.58

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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.