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Finding the Fourth Proportional to 2,744.91, 3,776.22 and 2,480.04

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Solution

The fourth proportional to 2,744.91, 3,776.22 and 2,480.04 is: 3,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.91 : 3,776.22 = 2,480.04 : x
  2. Step 2: Convert to fraction form
    2,744.91/3,776.22 = 2,480.04/x
  3. Step 3: Cross multiply
    2,744.91x = 3,776.22 × 2,480.04
  4. Step 4: Simplify right side
    2,744.91x = 9,365,176.65
  5. Step 5: Solve for x
    x = 9,365,176.65/2,744.91
  6. Step 6: Final answer
    x = 3,411.83

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Why These Related Problems?

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