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Finding the Fourth Proportional to 2,144.92, 2,961.38 and 1,920.46

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Solution

The fourth proportional to 2,144.92, 2,961.38 and 1,920.46 is: 2,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.92 : 2,961.38 = 1,920.46 : x
  2. Step 2: Convert to fraction form
    2,144.92/2,961.38 = 1,920.46/x
  3. Step 3: Cross multiply
    2,144.92x = 2,961.38 × 1,920.46
  4. Step 4: Simplify right side
    2,144.92x = 5,687,211.83
  5. Step 5: Solve for x
    x = 5,687,211.83/2,144.92
  6. Step 6: Final answer
    x = 2,651.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.