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Finding the Fourth Proportional to 2,817.75, 4,229.12 and 1,338.79

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Solution

The fourth proportional to 2,817.75, 4,229.12 and 1,338.79 is: 2,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.75 : 4,229.12 = 1,338.79 : x
  2. Step 2: Convert to fraction form
    2,817.75/4,229.12 = 1,338.79/x
  3. Step 3: Cross multiply
    2,817.75x = 4,229.12 × 1,338.79
  4. Step 4: Simplify right side
    2,817.75x = 5,661,903.56
  5. Step 5: Solve for x
    x = 5,661,903.56/2,817.75
  6. Step 6: Final answer
    x = 2,009.37

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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.