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Finding the Fourth Proportional to 3,170.72, 4,757.45 and 1,224.29

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Solution

The fourth proportional to 3,170.72, 4,757.45 and 1,224.29 is: 1,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.72 : 4,757.45 = 1,224.29 : x
  2. Step 2: Convert to fraction form
    3,170.72/4,757.45 = 1,224.29/x
  3. Step 3: Cross multiply
    3,170.72x = 4,757.45 × 1,224.29
  4. Step 4: Simplify right side
    3,170.72x = 5,824,504.23
  5. Step 5: Solve for x
    x = 5,824,504.23/3,170.72
  6. Step 6: Final answer
    x = 1,836.96

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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.