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Finding the Fourth Proportional to 2,469.59, 3,408.13 and 1,350.47

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Solution

The fourth proportional to 2,469.59, 3,408.13 and 1,350.47 is: 1,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.59 : 3,408.13 = 1,350.47 : x
  2. Step 2: Convert to fraction form
    2,469.59/3,408.13 = 1,350.47/x
  3. Step 3: Cross multiply
    2,469.59x = 3,408.13 × 1,350.47
  4. Step 4: Simplify right side
    2,469.59x = 4,602,556.90
  5. Step 5: Solve for x
    x = 4,602,556.90/2,469.59
  6. Step 6: Final answer
    x = 1,863.69

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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.