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Finding the Fourth Proportional to 2,375.33, 3,563.09 and 731.89

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Solution

The fourth proportional to 2,375.33, 3,563.09 and 731.89 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.33 : 3,563.09 = 731.89 : x
  2. Step 2: Convert to fraction form
    2,375.33/3,563.09 = 731.89/x
  3. Step 3: Cross multiply
    2,375.33x = 3,563.09 × 731.89
  4. Step 4: Simplify right side
    2,375.33x = 2,607,773.44
  5. Step 5: Solve for x
    x = 2,607,773.44/2,375.33
  6. Step 6: Final answer
    x = 1,097.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.