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Finding the Fourth Proportional to 2,375.28, 3,562.94 and 731.82

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Solution

The fourth proportional to 2,375.28, 3,562.94 and 731.82 is: 1,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.28 : 3,562.94 = 731.82 : x
  2. Step 2: Convert to fraction form
    2,375.28/3,562.94 = 731.82/x
  3. Step 3: Cross multiply
    2,375.28x = 3,562.94 × 731.82
  4. Step 4: Simplify right side
    2,375.28x = 2,607,427.09
  5. Step 5: Solve for x
    x = 2,607,427.09/2,375.28
  6. Step 6: Final answer
    x = 1,097.73

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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.