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Finding the Fourth Proportional to 1,306.92, 1,801.81 and 1,119.61

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Solution

The fourth proportional to 1,306.92, 1,801.81 and 1,119.61 is: 1,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.92 : 1,801.81 = 1,119.61 : x
  2. Step 2: Convert to fraction form
    1,306.92/1,801.81 = 1,119.61/x
  3. Step 3: Cross multiply
    1,306.92x = 1,801.81 × 1,119.61
  4. Step 4: Simplify right side
    1,306.92x = 2,017,324.49
  5. Step 5: Solve for x
    x = 2,017,324.49/1,306.92
  6. Step 6: Final answer
    x = 1,543.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.