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Finding the Fourth Proportional to 3,232.92, 4,852.30 and 2,002.68

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Solution

The fourth proportional to 3,232.92, 4,852.30 and 2,002.68 is: 3,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.92 : 4,852.30 = 2,002.68 : x
  2. Step 2: Convert to fraction form
    3,232.92/4,852.30 = 2,002.68/x
  3. Step 3: Cross multiply
    3,232.92x = 4,852.30 × 2,002.68
  4. Step 4: Simplify right side
    3,232.92x = 9,717,604.16
  5. Step 5: Solve for x
    x = 9,717,604.16/3,232.92
  6. Step 6: Final answer
    x = 3,005.83

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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.