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Finding the Fourth Proportional to 2,773.23, 3,830.79 and 2,217.61

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Solution

The fourth proportional to 2,773.23, 3,830.79 and 2,217.61 is: 3,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.23 : 3,830.79 = 2,217.61 : x
  2. Step 2: Convert to fraction form
    2,773.23/3,830.79 = 2,217.61/x
  3. Step 3: Cross multiply
    2,773.23x = 3,830.79 × 2,217.61
  4. Step 4: Simplify right side
    2,773.23x = 8,495,198.21
  5. Step 5: Solve for x
    x = 8,495,198.21/2,773.23
  6. Step 6: Final answer
    x = 3,063.29

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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.