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Finding the Fourth Proportional to 2,377.71, 3,279.92 and 1,382.88

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Solution

The fourth proportional to 2,377.71, 3,279.92 and 1,382.88 is: 1,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.71 : 3,279.92 = 1,382.88 : x
  2. Step 2: Convert to fraction form
    2,377.71/3,279.92 = 1,382.88/x
  3. Step 3: Cross multiply
    2,377.71x = 3,279.92 × 1,382.88
  4. Step 4: Simplify right side
    2,377.71x = 4,535,735.77
  5. Step 5: Solve for x
    x = 4,535,735.77/2,377.71
  6. Step 6: Final answer
    x = 1,907.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.