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Finding the Fourth Proportional to 2,704.31, 4,055 and 1,387.52

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Solution

The fourth proportional to 2,704.31, 4,055 and 1,387.52 is: 2,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.31 : 4,055 = 1,387.52 : x
  2. Step 2: Convert to fraction form
    2,704.31/4,055 = 1,387.52/x
  3. Step 3: Cross multiply
    2,704.31x = 4,055 × 1,387.52
  4. Step 4: Simplify right side
    2,704.31x = 5,626,373.33
  5. Step 5: Solve for x
    x = 5,626,373.33/2,704.31
  6. Step 6: Final answer
    x = 2,080.52

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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.