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Finding the Fourth Proportional to 2,613.67, 3,919.96 and 2,177.73

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Solution

The fourth proportional to 2,613.67, 3,919.96 and 2,177.73 is: 3,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.67 : 3,919.96 = 2,177.73 : x
  2. Step 2: Convert to fraction form
    2,613.67/3,919.96 = 2,177.73/x
  3. Step 3: Cross multiply
    2,613.67x = 3,919.96 × 2,177.73
  4. Step 4: Simplify right side
    2,613.67x = 8,536,617.21
  5. Step 5: Solve for x
    x = 8,536,617.21/2,613.67
  6. Step 6: Final answer
    x = 3,266.15

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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.