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Finding the Fourth Proportional to 2,279.76, 3,432.48 and 2,007.60

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Solution

The fourth proportional to 2,279.76, 3,432.48 and 2,007.60 is: 3,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.76 : 3,432.48 = 2,007.60 : x
  2. Step 2: Convert to fraction form
    2,279.76/3,432.48 = 2,007.60/x
  3. Step 3: Cross multiply
    2,279.76x = 3,432.48 × 2,007.60
  4. Step 4: Simplify right side
    2,279.76x = 6,891,046.85
  5. Step 5: Solve for x
    x = 6,891,046.85/2,279.76
  6. Step 6: Final answer
    x = 3,022.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.