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Finding the Fourth Proportional to 2,151.06, 3,227.67 and 853.44

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Solution

The fourth proportional to 2,151.06, 3,227.67 and 853.44 is: 1,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.06 : 3,227.67 = 853.44 : x
  2. Step 2: Convert to fraction form
    2,151.06/3,227.67 = 853.44/x
  3. Step 3: Cross multiply
    2,151.06x = 3,227.67 × 853.44
  4. Step 4: Simplify right side
    2,151.06x = 2,754,622.68
  5. Step 5: Solve for x
    x = 2,754,622.68/2,151.06
  6. Step 6: Final answer
    x = 1,280.59

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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.