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Finding the Fourth Proportional to 2,144.57, 2,959.38 and 1,260.05

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Solution

The fourth proportional to 2,144.57, 2,959.38 and 1,260.05 is: 1,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.57 : 2,959.38 = 1,260.05 : x
  2. Step 2: Convert to fraction form
    2,144.57/2,959.38 = 1,260.05/x
  3. Step 3: Cross multiply
    2,144.57x = 2,959.38 × 1,260.05
  4. Step 4: Simplify right side
    2,144.57x = 3,728,951.97
  5. Step 5: Solve for x
    x = 3,728,951.97/2,144.57
  6. Step 6: Final answer
    x = 1,738.79

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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.