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Finding the Fourth Proportional to 2,729.48, 4,095.84 and 1,086.80

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Solution

The fourth proportional to 2,729.48, 4,095.84 and 1,086.80 is: 1,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.48 : 4,095.84 = 1,086.80 : x
  2. Step 2: Convert to fraction form
    2,729.48/4,095.84 = 1,086.80/x
  3. Step 3: Cross multiply
    2,729.48x = 4,095.84 × 1,086.80
  4. Step 4: Simplify right side
    2,729.48x = 4,451,358.91
  5. Step 5: Solve for x
    x = 4,451,358.91/2,729.48
  6. Step 6: Final answer
    x = 1,630.85

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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.