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Finding the Fourth Proportional to 2,708.26, 4,062.04 and 734.04

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Solution

The fourth proportional to 2,708.26, 4,062.04 and 734.04 is: 1,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.26 : 4,062.04 = 734.04 : x
  2. Step 2: Convert to fraction form
    2,708.26/4,062.04 = 734.04/x
  3. Step 3: Cross multiply
    2,708.26x = 4,062.04 × 734.04
  4. Step 4: Simplify right side
    2,708.26x = 2,981,698.01
  5. Step 5: Solve for x
    x = 2,981,698.01/2,708.26
  6. Step 6: Final answer
    x = 1,100.97

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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.