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Finding the Fourth Proportional to 1,842.38, 2,757.42 and 1,817.78

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Solution

The fourth proportional to 1,842.38, 2,757.42 and 1,817.78 is: 2,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.38 : 2,757.42 = 1,817.78 : x
  2. Step 2: Convert to fraction form
    1,842.38/2,757.42 = 1,817.78/x
  3. Step 3: Cross multiply
    1,842.38x = 2,757.42 × 1,817.78
  4. Step 4: Simplify right side
    1,842.38x = 5,012,382.93
  5. Step 5: Solve for x
    x = 5,012,382.93/1,842.38
  6. Step 6: Final answer
    x = 2,720.60

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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.