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Finding the Fourth Proportional to 2,169.40, 3,254.09 and 708.55

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Solution

The fourth proportional to 2,169.40, 3,254.09 and 708.55 is: 1,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.40 : 3,254.09 = 708.55 : x
  2. Step 2: Convert to fraction form
    2,169.40/3,254.09 = 708.55/x
  3. Step 3: Cross multiply
    2,169.40x = 3,254.09 × 708.55
  4. Step 4: Simplify right side
    2,169.40x = 2,305,685.47
  5. Step 5: Solve for x
    x = 2,305,685.47/2,169.40
  6. Step 6: Final answer
    x = 1,062.82

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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.