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Finding the Fourth Proportional to 2,167.15, 3,250.72 and 706.30

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Solution

The fourth proportional to 2,167.15, 3,250.72 and 706.30 is: 1,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.15 : 3,250.72 = 706.30 : x
  2. Step 2: Convert to fraction form
    2,167.15/3,250.72 = 706.30/x
  3. Step 3: Cross multiply
    2,167.15x = 3,250.72 × 706.30
  4. Step 4: Simplify right side
    2,167.15x = 2,295,963.75
  5. Step 5: Solve for x
    x = 2,295,963.75/2,167.15
  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.