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Finding the Fourth Proportional to 2,319.60, 3,478.68 and 932.70

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Solution

The fourth proportional to 2,319.60, 3,478.68 and 932.70 is: 1,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.60 : 3,478.68 = 932.70 : x
  2. Step 2: Convert to fraction form
    2,319.60/3,478.68 = 932.70/x
  3. Step 3: Cross multiply
    2,319.60x = 3,478.68 × 932.70
  4. Step 4: Simplify right side
    2,319.60x = 3,244,564.84
  5. Step 5: Solve for x
    x = 3,244,564.84/2,319.60
  6. Step 6: Final answer
    x = 1,398.76

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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.