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Finding the Fourth Proportional to 2,061.75, 3,092.14 and 674.70

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Solution

The fourth proportional to 2,061.75, 3,092.14 and 674.70 is: 1,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.75 : 3,092.14 = 674.70 : x
  2. Step 2: Convert to fraction form
    2,061.75/3,092.14 = 674.70/x
  3. Step 3: Cross multiply
    2,061.75x = 3,092.14 × 674.70
  4. Step 4: Simplify right side
    2,061.75x = 2,086,266.86
  5. Step 5: Solve for x
    x = 2,086,266.86/2,061.75
  6. Step 6: Final answer
    x = 1,011.89

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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.