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Finding the Fourth Proportional to 2,665.75, 4,002.72 and 2,375.97

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Solution

The fourth proportional to 2,665.75, 4,002.72 and 2,375.97 is: 3,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.75 : 4,002.72 = 2,375.97 : x
  2. Step 2: Convert to fraction form
    2,665.75/4,002.72 = 2,375.97/x
  3. Step 3: Cross multiply
    2,665.75x = 4,002.72 × 2,375.97
  4. Step 4: Simplify right side
    2,665.75x = 9,510,342.64
  5. Step 5: Solve for x
    x = 9,510,342.64/2,665.75
  6. Step 6: Final answer
    x = 3,567.60

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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.