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Finding the Fourth Proportional to 2,170.73, 3,254.81 and 1,057.97

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Solution

The fourth proportional to 2,170.73, 3,254.81 and 1,057.97 is: 1,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.73 : 3,254.81 = 1,057.97 : x
  2. Step 2: Convert to fraction form
    2,170.73/3,254.81 = 1,057.97/x
  3. Step 3: Cross multiply
    2,170.73x = 3,254.81 × 1,057.97
  4. Step 4: Simplify right side
    2,170.73x = 3,443,469.77
  5. Step 5: Solve for x
    x = 3,443,469.77/2,170.73
  6. Step 6: Final answer
    x = 1,586.32

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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.