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Finding the Fourth Proportional to 3,234.40, 4,461.78 and 2,447.08

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Solution

The fourth proportional to 3,234.40, 4,461.78 and 2,447.08 is: 3,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.40 : 4,461.78 = 2,447.08 : x
  2. Step 2: Convert to fraction form
    3,234.40/4,461.78 = 2,447.08/x
  3. Step 3: Cross multiply
    3,234.40x = 4,461.78 × 2,447.08
  4. Step 4: Simplify right side
    3,234.40x = 10,918,330.62
  5. Step 5: Solve for x
    x = 10,918,330.62/3,234.40
  6. Step 6: Final answer
    x = 3,375.69

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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.