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Finding the Fourth Proportional to 2,729.10, 3,765.90 and 1,549.95

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Solution

The fourth proportional to 2,729.10, 3,765.90 and 1,549.95 is: 2,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.10 : 3,765.90 = 1,549.95 : x
  2. Step 2: Convert to fraction form
    2,729.10/3,765.90 = 1,549.95/x
  3. Step 3: Cross multiply
    2,729.10x = 3,765.90 × 1,549.95
  4. Step 4: Simplify right side
    2,729.10x = 5,836,956.71
  5. Step 5: Solve for x
    x = 5,836,956.71/2,729.10
  6. Step 6: Final answer
    x = 2,138.78

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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.