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Finding the Fourth Proportional to 2,744.73, 3,786.42 and 2,638.65

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Solution

The fourth proportional to 2,744.73, 3,786.42 and 2,638.65 is: 3,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.73 : 3,786.42 = 2,638.65 : x
  2. Step 2: Convert to fraction form
    2,744.73/3,786.42 = 2,638.65/x
  3. Step 3: Cross multiply
    2,744.73x = 3,786.42 × 2,638.65
  4. Step 4: Simplify right side
    2,744.73x = 9,991,018.20
  5. Step 5: Solve for x
    x = 9,991,018.20/2,744.73
  6. Step 6: Final answer
    x = 3,640.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.