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Finding the Fourth Proportional to 2,162.81, 3,244.13 and 701.92

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Solution

The fourth proportional to 2,162.81, 3,244.13 and 701.92 is: 1,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.81 : 3,244.13 = 701.92 : x
  2. Step 2: Convert to fraction form
    2,162.81/3,244.13 = 701.92/x
  3. Step 3: Cross multiply
    2,162.81x = 3,244.13 × 701.92
  4. Step 4: Simplify right side
    2,162.81x = 2,277,119.73
  5. Step 5: Solve for x
    x = 2,277,119.73/2,162.81
  6. Step 6: Final answer
    x = 1,052.85

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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.