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Finding the Fourth Proportional to 2,167.27, 3,251.51 and 706.51

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Solution

The fourth proportional to 2,167.27, 3,251.51 and 706.51 is: 1,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.27 : 3,251.51 = 706.51 : x
  2. Step 2: Convert to fraction form
    2,167.27/3,251.51 = 706.51/x
  3. Step 3: Cross multiply
    2,167.27x = 3,251.51 × 706.51
  4. Step 4: Simplify right side
    2,167.27x = 2,297,224.33
  5. Step 5: Solve for x
    x = 2,297,224.33/2,167.27
  6. Step 6: Final answer
    x = 1,059.96

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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.