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Finding the Fourth Proportional to 2,129.72, 3,194.57 and 1,161.97

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Solution

The fourth proportional to 2,129.72, 3,194.57 and 1,161.97 is: 1,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.72 : 3,194.57 = 1,161.97 : x
  2. Step 2: Convert to fraction form
    2,129.72/3,194.57 = 1,161.97/x
  3. Step 3: Cross multiply
    2,129.72x = 3,194.57 × 1,161.97
  4. Step 4: Simplify right side
    2,129.72x = 3,711,978.53
  5. Step 5: Solve for x
    x = 3,711,978.53/2,129.72
  6. Step 6: Final answer
    x = 1,742.95

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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.