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Finding the Fourth Proportional to 2,061.96, 3,091.44 and 674.85

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Solution

The fourth proportional to 2,061.96, 3,091.44 and 674.85 is: 1,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.96 : 3,091.44 = 674.85 : x
  2. Step 2: Convert to fraction form
    2,061.96/3,091.44 = 674.85/x
  3. Step 3: Cross multiply
    2,061.96x = 3,091.44 × 674.85
  4. Step 4: Simplify right side
    2,061.96x = 2,086,258.28
  5. Step 5: Solve for x
    x = 2,086,258.28/2,061.96
  6. Step 6: Final answer
    x = 1,011.78

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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.