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Finding the Fourth Proportional to 2,855.67, 3,945.96 and 2,227.79

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Solution

The fourth proportional to 2,855.67, 3,945.96 and 2,227.79 is: 3,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.67 : 3,945.96 = 2,227.79 : x
  2. Step 2: Convert to fraction form
    2,855.67/3,945.96 = 2,227.79/x
  3. Step 3: Cross multiply
    2,855.67x = 3,945.96 × 2,227.79
  4. Step 4: Simplify right side
    2,855.67x = 8,790,750.50
  5. Step 5: Solve for x
    x = 8,790,750.50/2,855.67
  6. Step 6: Final answer
    x = 3,078.35

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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.