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Finding the Fourth Proportional to 2,469.96, 3,408.84 and 1,422

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Solution

The fourth proportional to 2,469.96, 3,408.84 and 1,422 is: 1,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.96 : 3,408.84 = 1,422 : x
  2. Step 2: Convert to fraction form
    2,469.96/3,408.84 = 1,422/x
  3. Step 3: Cross multiply
    2,469.96x = 3,408.84 × 1,422
  4. Step 4: Simplify right side
    2,469.96x = 4,847,370.48
  5. Step 5: Solve for x
    x = 4,847,370.48/2,469.96
  6. Step 6: Final answer
    x = 1,962.53

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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.