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Finding the Fourth Proportional to 2,624.20, 3,936.17 and 980.62

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Solution

The fourth proportional to 2,624.20, 3,936.17 and 980.62 is: 1,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.20 : 3,936.17 = 980.62 : x
  2. Step 2: Convert to fraction form
    2,624.20/3,936.17 = 980.62/x
  3. Step 3: Cross multiply
    2,624.20x = 3,936.17 × 980.62
  4. Step 4: Simplify right side
    2,624.20x = 3,859,879.64
  5. Step 5: Solve for x
    x = 3,859,879.64/2,624.20
  6. Step 6: Final answer
    x = 1,470.88

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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.