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Finding the Fourth Proportional to 2,942.68, 4,402.38 and 2,279.32

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Solution

The fourth proportional to 2,942.68, 4,402.38 and 2,279.32 is: 3,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.68 : 4,402.38 = 2,279.32 : x
  2. Step 2: Convert to fraction form
    2,942.68/4,402.38 = 2,279.32/x
  3. Step 3: Cross multiply
    2,942.68x = 4,402.38 × 2,279.32
  4. Step 4: Simplify right side
    2,942.68x = 10,034,432.78
  5. Step 5: Solve for x
    x = 10,034,432.78/2,942.68
  6. Step 6: Final answer
    x = 3,409.96

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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.