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Finding the Fourth Proportional to 2,677.26, 4,016.33 and 827.94

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Solution

The fourth proportional to 2,677.26, 4,016.33 and 827.94 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.26 : 4,016.33 = 827.94 : x
  2. Step 2: Convert to fraction form
    2,677.26/4,016.33 = 827.94/x
  3. Step 3: Cross multiply
    2,677.26x = 4,016.33 × 827.94
  4. Step 4: Simplify right side
    2,677.26x = 3,325,280.26
  5. Step 5: Solve for x
    x = 3,325,280.26/2,677.26
  6. Step 6: Final answer
    x = 1,242.05

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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.