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Finding the Fourth Proportional to 3,199.26, 4,416.33 and 2,493

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Solution

The fourth proportional to 3,199.26, 4,416.33 and 2,493 is: 3,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.26 : 4,416.33 = 2,493 : x
  2. Step 2: Convert to fraction form
    3,199.26/4,416.33 = 2,493/x
  3. Step 3: Cross multiply
    3,199.26x = 4,416.33 × 2,493
  4. Step 4: Simplify right side
    3,199.26x = 11,009,910.69
  5. Step 5: Solve for x
    x = 11,009,910.69/3,199.26
  6. Step 6: Final answer
    x = 3,441.39

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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.