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Finding the Fourth Proportional to 2,375.16, 3,563.14 and 731.66

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Solution

The fourth proportional to 2,375.16, 3,563.14 and 731.66 is: 1,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.16 : 3,563.14 = 731.66 : x
  2. Step 2: Convert to fraction form
    2,375.16/3,563.14 = 731.66/x
  3. Step 3: Cross multiply
    2,375.16x = 3,563.14 × 731.66
  4. Step 4: Simplify right side
    2,375.16x = 2,607,007.01
  5. Step 5: Solve for x
    x = 2,607,007.01/2,375.16
  6. Step 6: Final answer
    x = 1,097.61

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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.