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Finding the Fourth Proportional to 2,067.74, 3,098.68 and 1,143.71

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Solution

The fourth proportional to 2,067.74, 3,098.68 and 1,143.71 is: 1,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.74 : 3,098.68 = 1,143.71 : x
  2. Step 2: Convert to fraction form
    2,067.74/3,098.68 = 1,143.71/x
  3. Step 3: Cross multiply
    2,067.74x = 3,098.68 × 1,143.71
  4. Step 4: Simplify right side
    2,067.74x = 3,543,991.30
  5. Step 5: Solve for x
    x = 3,543,991.30/2,067.74
  6. Step 6: Final answer
    x = 1,713.94

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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.