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Finding the Fourth Proportional to 3,218.14, 4,441.06 and 1,891.86

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Solution

The fourth proportional to 3,218.14, 4,441.06 and 1,891.86 is: 2,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.14 : 4,441.06 = 1,891.86 : x
  2. Step 2: Convert to fraction form
    3,218.14/4,441.06 = 1,891.86/x
  3. Step 3: Cross multiply
    3,218.14x = 4,441.06 × 1,891.86
  4. Step 4: Simplify right side
    3,218.14x = 8,401,863.77
  5. Step 5: Solve for x
    x = 8,401,863.77/3,218.14
  6. Step 6: Final answer
    x = 2,610.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.