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Finding the Fourth Proportional to 2,167.41, 3,251.45 and 706.22

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Solution

The fourth proportional to 2,167.41, 3,251.45 and 706.22 is: 1,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.41 : 3,251.45 = 706.22 : x
  2. Step 2: Convert to fraction form
    2,167.41/3,251.45 = 706.22/x
  3. Step 3: Cross multiply
    2,167.41x = 3,251.45 × 706.22
  4. Step 4: Simplify right side
    2,167.41x = 2,296,239.02
  5. Step 5: Solve for x
    x = 2,296,239.02/2,167.41
  6. Step 6: Final answer
    x = 1,059.44

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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.