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Finding the Fourth Proportional to 3,234.96, 4,852.46 and 1,287.18

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Solution

The fourth proportional to 3,234.96, 4,852.46 and 1,287.18 is: 1,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.96 : 4,852.46 = 1,287.18 : x
  2. Step 2: Convert to fraction form
    3,234.96/4,852.46 = 1,287.18/x
  3. Step 3: Cross multiply
    3,234.96x = 4,852.46 × 1,287.18
  4. Step 4: Simplify right side
    3,234.96x = 6,245,989.46
  5. Step 5: Solve for x
    x = 6,245,989.46/3,234.96
  6. Step 6: Final answer
    x = 1,930.78

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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.