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Finding the Fourth Proportional to 2,744.67, 4,112.22 and 2,285.40

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Solution

The fourth proportional to 2,744.67, 4,112.22 and 2,285.40 is: 3,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.67 : 4,112.22 = 2,285.40 : x
  2. Step 2: Convert to fraction form
    2,744.67/4,112.22 = 2,285.40/x
  3. Step 3: Cross multiply
    2,744.67x = 4,112.22 × 2,285.40
  4. Step 4: Simplify right side
    2,744.67x = 9,398,067.59
  5. Step 5: Solve for x
    x = 9,398,067.59/2,744.67
  6. Step 6: Final answer
    x = 3,424.12

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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.