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Finding the Fourth Proportional to 2,375.57, 3,563.06 and 731.98

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Solution

The fourth proportional to 2,375.57, 3,563.06 and 731.98 is: 1,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.57 : 3,563.06 = 731.98 : x
  2. Step 2: Convert to fraction form
    2,375.57/3,563.06 = 731.98/x
  3. Step 3: Cross multiply
    2,375.57x = 3,563.06 × 731.98
  4. Step 4: Simplify right side
    2,375.57x = 2,608,089.45
  5. Step 5: Solve for x
    x = 2,608,089.45/2,375.57
  6. Step 6: Final answer
    x = 1,097.88

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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.