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Finding the Fourth Proportional to 1,219.92, 1,817.39 and 1,161.14

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Solution

The fourth proportional to 1,219.92, 1,817.39 and 1,161.14 is: 1,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.92 : 1,817.39 = 1,161.14 : x
  2. Step 2: Convert to fraction form
    1,219.92/1,817.39 = 1,161.14/x
  3. Step 3: Cross multiply
    1,219.92x = 1,817.39 × 1,161.14
  4. Step 4: Simplify right side
    1,219.92x = 2,110,251.67
  5. Step 5: Solve for x
    x = 2,110,251.67/1,219.92
  6. Step 6: Final answer
    x = 1,729.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.