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Finding the Fourth Proportional to 2,061.81, 3,092.34 and 762.96

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Solution

The fourth proportional to 2,061.81, 3,092.34 and 762.96 is: 1,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.81 : 3,092.34 = 762.96 : x
  2. Step 2: Convert to fraction form
    2,061.81/3,092.34 = 762.96/x
  3. Step 3: Cross multiply
    2,061.81x = 3,092.34 × 762.96
  4. Step 4: Simplify right side
    2,061.81x = 2,359,331.73
  5. Step 5: Solve for x
    x = 2,359,331.73/2,061.81
  6. Step 6: Final answer
    x = 1,144.30

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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.