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Finding the Fourth Proportional to 2,150.42, 3,227.06 and 918.11

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Solution

The fourth proportional to 2,150.42, 3,227.06 and 918.11 is: 1,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.42 : 3,227.06 = 918.11 : x
  2. Step 2: Convert to fraction form
    2,150.42/3,227.06 = 918.11/x
  3. Step 3: Cross multiply
    2,150.42x = 3,227.06 × 918.11
  4. Step 4: Simplify right side
    2,150.42x = 2,962,806.42
  5. Step 5: Solve for x
    x = 2,962,806.42/2,150.42
  6. Step 6: Final answer
    x = 1,377.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.