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Finding the Fourth Proportional to 2,767.96, 3,825.24 and 2,269.80

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Solution

The fourth proportional to 2,767.96, 3,825.24 and 2,269.80 is: 3,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.96 : 3,825.24 = 2,269.80 : x
  2. Step 2: Convert to fraction form
    2,767.96/3,825.24 = 2,269.80/x
  3. Step 3: Cross multiply
    2,767.96x = 3,825.24 × 2,269.80
  4. Step 4: Simplify right side
    2,767.96x = 8,682,529.75
  5. Step 5: Solve for x
    x = 8,682,529.75/2,767.96
  6. Step 6: Final answer
    x = 3,136.80

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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.