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Finding the Fourth Proportional to 2,169.60, 3,254.73 and 708.42

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Solution

The fourth proportional to 2,169.60, 3,254.73 and 708.42 is: 1,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.60 : 3,254.73 = 708.42 : x
  2. Step 2: Convert to fraction form
    2,169.60/3,254.73 = 708.42/x
  3. Step 3: Cross multiply
    2,169.60x = 3,254.73 × 708.42
  4. Step 4: Simplify right side
    2,169.60x = 2,305,715.83
  5. Step 5: Solve for x
    x = 2,305,715.83/2,169.60
  6. Step 6: Final answer
    x = 1,062.74

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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.