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Finding the Fourth Proportional to 2,061.54, 3,092.74 and 674.77

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Solution

The fourth proportional to 2,061.54, 3,092.74 and 674.77 is: 1,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.54 : 3,092.74 = 674.77 : x
  2. Step 2: Convert to fraction form
    2,061.54/3,092.74 = 674.77/x
  3. Step 3: Cross multiply
    2,061.54x = 3,092.74 × 674.77
  4. Step 4: Simplify right side
    2,061.54x = 2,086,869.33
  5. Step 5: Solve for x
    x = 2,086,869.33/2,061.54
  6. Step 6: Final answer
    x = 1,012.29

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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.