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Finding the Fourth Proportional to 2,167.14, 3,250.72 and 851.03

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Solution

The fourth proportional to 2,167.14, 3,250.72 and 851.03 is: 1,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.14 : 3,250.72 = 851.03 : x
  2. Step 2: Convert to fraction form
    2,167.14/3,250.72 = 851.03/x
  3. Step 3: Cross multiply
    2,167.14x = 3,250.72 × 851.03
  4. Step 4: Simplify right side
    2,167.14x = 2,766,466.24
  5. Step 5: Solve for x
    x = 2,766,466.24/2,167.14
  6. Step 6: Final answer
    x = 1,276.55

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1.5x scale

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.