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Finding the Fourth Proportional to 2,778.65, 4,169.18 and 2,161.43

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Solution

The fourth proportional to 2,778.65, 4,169.18 and 2,161.43 is: 3,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.65 : 4,169.18 = 2,161.43 : x
  2. Step 2: Convert to fraction form
    2,778.65/4,169.18 = 2,161.43/x
  3. Step 3: Cross multiply
    2,778.65x = 4,169.18 × 2,161.43
  4. Step 4: Simplify right side
    2,778.65x = 9,011,375.29
  5. Step 5: Solve for x
    x = 9,011,375.29/2,778.65
  6. Step 6: Final answer
    x = 3,243.08

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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.