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Finding the Fourth Proportional to 2,167.01, 3,250.52 and 523.55

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Solution

The fourth proportional to 2,167.01, 3,250.52 and 523.55 is: 785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.01 : 3,250.52 = 523.55 : x
  2. Step 2: Convert to fraction form
    2,167.01/3,250.52 = 523.55/x
  3. Step 3: Cross multiply
    2,167.01x = 3,250.52 × 523.55
  4. Step 4: Simplify right side
    2,167.01x = 1,701,819.18
  5. Step 5: Solve for x
    x = 1,701,819.18/2,167.01
  6. Step 6: Final answer
    x = 785.33

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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.