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Finding the Fourth Proportional to 3,242.80, 4,863.69 and 1,162.76

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Solution

The fourth proportional to 3,242.80, 4,863.69 and 1,162.76 is: 1,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.80 : 4,863.69 = 1,162.76 : x
  2. Step 2: Convert to fraction form
    3,242.80/4,863.69 = 1,162.76/x
  3. Step 3: Cross multiply
    3,242.80x = 4,863.69 × 1,162.76
  4. Step 4: Simplify right side
    3,242.80x = 5,655,279.87
  5. Step 5: Solve for x
    x = 5,655,279.87/3,242.80
  6. Step 6: Final answer
    x = 1,743.95

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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.