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Finding the Fourth Proportional to 2,469.38, 3,408.77 and 1,838.80

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Solution

The fourth proportional to 2,469.38, 3,408.77 and 1,838.80 is: 2,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.38 : 3,408.77 = 1,838.80 : x
  2. Step 2: Convert to fraction form
    2,469.38/3,408.77 = 1,838.80/x
  3. Step 3: Cross multiply
    2,469.38x = 3,408.77 × 1,838.80
  4. Step 4: Simplify right side
    2,469.38x = 6,268,020.04
  5. Step 5: Solve for x
    x = 6,268,020.04/2,469.38
  6. Step 6: Final answer
    x = 2,538.30

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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.