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Finding the Fourth Proportional to 2,227.14, 3,340.73 and 994.61

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Solution

The fourth proportional to 2,227.14, 3,340.73 and 994.61 is: 1,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.14 : 3,340.73 = 994.61 : x
  2. Step 2: Convert to fraction form
    2,227.14/3,340.73 = 994.61/x
  3. Step 3: Cross multiply
    2,227.14x = 3,340.73 × 994.61
  4. Step 4: Simplify right side
    2,227.14x = 3,322,734.30
  5. Step 5: Solve for x
    x = 3,322,734.30/2,227.14
  6. Step 6: Final answer
    x = 1,491.93

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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.