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Finding the Fourth Proportional to 3,242.32, 4,863.82 and 1,162.02

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Solution

The fourth proportional to 3,242.32, 4,863.82 and 1,162.02 is: 1,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.32 : 4,863.82 = 1,162.02 : x
  2. Step 2: Convert to fraction form
    3,242.32/4,863.82 = 1,162.02/x
  3. Step 3: Cross multiply
    3,242.32x = 4,863.82 × 1,162.02
  4. Step 4: Simplify right side
    3,242.32x = 5,651,856.12
  5. Step 5: Solve for x
    x = 5,651,856.12/3,242.32
  6. Step 6: Final answer
    x = 1,743.15

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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.