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Finding the Fourth Proportional to 2,813.96, 4,222.14 and 2,169.96

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Solution

The fourth proportional to 2,813.96, 4,222.14 and 2,169.96 is: 3,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.96 : 4,222.14 = 2,169.96 : x
  2. Step 2: Convert to fraction form
    2,813.96/4,222.14 = 2,169.96/x
  3. Step 3: Cross multiply
    2,813.96x = 4,222.14 × 2,169.96
  4. Step 4: Simplify right side
    2,813.96x = 9,161,874.91
  5. Step 5: Solve for x
    x = 9,161,874.91/2,813.96
  6. Step 6: Final answer
    x = 3,255.87

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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.