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Finding the Fourth Proportional to 2,139.71, 3,207.11 and 1,151.36

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Solution

The fourth proportional to 2,139.71, 3,207.11 and 1,151.36 is: 1,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.71 : 3,207.11 = 1,151.36 : x
  2. Step 2: Convert to fraction form
    2,139.71/3,207.11 = 1,151.36/x
  3. Step 3: Cross multiply
    2,139.71x = 3,207.11 × 1,151.36
  4. Step 4: Simplify right side
    2,139.71x = 3,692,516.38
  5. Step 5: Solve for x
    x = 3,692,516.38/2,139.71
  6. Step 6: Final answer
    x = 1,725.71

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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.