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Finding the Fourth Proportional to 4,169.80, 6,249.84 and 2,434.78

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Solution

The fourth proportional to 4,169.80, 6,249.84 and 2,434.78 is: 3,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.80 : 6,249.84 = 2,434.78 : x
  2. Step 2: Convert to fraction form
    4,169.80/6,249.84 = 2,434.78/x
  3. Step 3: Cross multiply
    4,169.80x = 6,249.84 × 2,434.78
  4. Step 4: Simplify right side
    4,169.80x = 15,216,985.44
  5. Step 5: Solve for x
    x = 15,216,985.44/4,169.80
  6. Step 6: Final answer
    x = 3,649.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.