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Finding the Fourth Proportional to 3,170.41, 4,755.62 and 1,414.96

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Solution

The fourth proportional to 3,170.41, 4,755.62 and 1,414.96 is: 2,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.41 : 4,755.62 = 1,414.96 : x
  2. Step 2: Convert to fraction form
    3,170.41/4,755.62 = 1,414.96/x
  3. Step 3: Cross multiply
    3,170.41x = 4,755.62 × 1,414.96
  4. Step 4: Simplify right side
    3,170.41x = 6,729,003.72
  5. Step 5: Solve for x
    x = 6,729,003.72/3,170.41
  6. Step 6: Final answer
    x = 2,122.44

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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.