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Finding the Fourth Proportional to 2,375.97, 3,279.11 and 1,327.83

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Solution

The fourth proportional to 2,375.97, 3,279.11 and 1,327.83 is: 1,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.97 : 3,279.11 = 1,327.83 : x
  2. Step 2: Convert to fraction form
    2,375.97/3,279.11 = 1,327.83/x
  3. Step 3: Cross multiply
    2,375.97x = 3,279.11 × 1,327.83
  4. Step 4: Simplify right side
    2,375.97x = 4,354,100.63
  5. Step 5: Solve for x
    x = 4,354,100.63/2,375.97
  6. Step 6: Final answer
    x = 1,832.56

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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.