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Finding the Fourth Proportional to 2,712.81, 4,067.38 and 1,251.17

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Solution

The fourth proportional to 2,712.81, 4,067.38 and 1,251.17 is: 1,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.81 : 4,067.38 = 1,251.17 : x
  2. Step 2: Convert to fraction form
    2,712.81/4,067.38 = 1,251.17/x
  3. Step 3: Cross multiply
    2,712.81x = 4,067.38 × 1,251.17
  4. Step 4: Simplify right side
    2,712.81x = 5,088,983.83
  5. Step 5: Solve for x
    x = 5,088,983.83/2,712.81
  6. Step 6: Final answer
    x = 1,875.91

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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.