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Finding the Fourth Proportional to 2,731.87, 3,770.12 and 2,067.55

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Solution

The fourth proportional to 2,731.87, 3,770.12 and 2,067.55 is: 2,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.87 : 3,770.12 = 2,067.55 : x
  2. Step 2: Convert to fraction form
    2,731.87/3,770.12 = 2,067.55/x
  3. Step 3: Cross multiply
    2,731.87x = 3,770.12 × 2,067.55
  4. Step 4: Simplify right side
    2,731.87x = 7,794,897.92
  5. Step 5: Solve for x
    x = 7,794,897.92/2,731.87
  6. Step 6: Final answer
    x = 2,853.32

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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.