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Finding the Fourth Proportional to 2,729.63, 3,766.84 and 1,534.61

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Solution

The fourth proportional to 2,729.63, 3,766.84 and 1,534.61 is: 2,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.63 : 3,766.84 = 1,534.61 : x
  2. Step 2: Convert to fraction form
    2,729.63/3,766.84 = 1,534.61/x
  3. Step 3: Cross multiply
    2,729.63x = 3,766.84 × 1,534.61
  4. Step 4: Simplify right side
    2,729.63x = 5,780,635.91
  5. Step 5: Solve for x
    x = 5,780,635.91/2,729.63
  6. Step 6: Final answer
    x = 2,117.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.