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Finding the Fourth Proportional to 2,151.80, 3,227.70 and 996.92

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Solution

The fourth proportional to 2,151.80, 3,227.70 and 996.92 is: 1,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.80 : 3,227.70 = 996.92 : x
  2. Step 2: Convert to fraction form
    2,151.80/3,227.70 = 996.92/x
  3. Step 3: Cross multiply
    2,151.80x = 3,227.70 × 996.92
  4. Step 4: Simplify right side
    2,151.80x = 3,217,758.68
  5. Step 5: Solve for x
    x = 3,217,758.68/2,151.80
  6. Step 6: Final answer
    x = 1,495.38

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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.