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Finding the Fourth Proportional to 2,729.60, 4,091.16 and 1,634.48

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Solution

The fourth proportional to 2,729.60, 4,091.16 and 1,634.48 is: 2,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.60 : 4,091.16 = 1,634.48 : x
  2. Step 2: Convert to fraction form
    2,729.60/4,091.16 = 1,634.48/x
  3. Step 3: Cross multiply
    2,729.60x = 4,091.16 × 1,634.48
  4. Step 4: Simplify right side
    2,729.60x = 6,686,919.20
  5. Step 5: Solve for x
    x = 6,686,919.20/2,729.60
  6. Step 6: Final answer
    x = 2,449.78

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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.