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Finding the Fourth Proportional to 3,446.66, 5,168.43 and 980.88

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Solution

The fourth proportional to 3,446.66, 5,168.43 and 980.88 is: 1,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.66 : 5,168.43 = 980.88 : x
  2. Step 2: Convert to fraction form
    3,446.66/5,168.43 = 980.88/x
  3. Step 3: Cross multiply
    3,446.66x = 5,168.43 × 980.88
  4. Step 4: Simplify right side
    3,446.66x = 5,069,609.62
  5. Step 5: Solve for x
    x = 5,069,609.62/3,446.66
  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.