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Finding the Fourth Proportional to 2,061.68, 3,092.72 and 674.96

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Solution

The fourth proportional to 2,061.68, 3,092.72 and 674.96 is: 1,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.68 : 3,092.72 = 674.96 : x
  2. Step 2: Convert to fraction form
    2,061.68/3,092.72 = 674.96/x
  3. Step 3: Cross multiply
    2,061.68x = 3,092.72 × 674.96
  4. Step 4: Simplify right side
    2,061.68x = 2,087,443.45
  5. Step 5: Solve for x
    x = 2,087,443.45/2,061.68
  6. Step 6: Final answer
    x = 1,012.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.