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Finding the Fourth Proportional to 2,040.82, 3,061.77 and 742.42

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Solution

The fourth proportional to 2,040.82, 3,061.77 and 742.42 is: 1,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.82 : 3,061.77 = 742.42 : x
  2. Step 2: Convert to fraction form
    2,040.82/3,061.77 = 742.42/x
  3. Step 3: Cross multiply
    2,040.82x = 3,061.77 × 742.42
  4. Step 4: Simplify right side
    2,040.82x = 2,273,119.28
  5. Step 5: Solve for x
    x = 2,273,119.28/2,040.82
  6. Step 6: Final answer
    x = 1,113.83

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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.