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Finding the Fourth Proportional to 2,721.85, 4,081.86 and 966.78

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Solution

The fourth proportional to 2,721.85, 4,081.86 and 966.78 is: 1,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.85 : 4,081.86 = 966.78 : x
  2. Step 2: Convert to fraction form
    2,721.85/4,081.86 = 966.78/x
  3. Step 3: Cross multiply
    2,721.85x = 4,081.86 × 966.78
  4. Step 4: Simplify right side
    2,721.85x = 3,946,260.61
  5. Step 5: Solve for x
    x = 3,946,260.61/2,721.85
  6. Step 6: Final answer
    x = 1,449.85

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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.