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Finding the Fourth Proportional to 2,767.87, 4,150.99 and 2,279.71

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Solution

The fourth proportional to 2,767.87, 4,150.99 and 2,279.71 is: 3,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.87 : 4,150.99 = 2,279.71 : x
  2. Step 2: Convert to fraction form
    2,767.87/4,150.99 = 2,279.71/x
  3. Step 3: Cross multiply
    2,767.87x = 4,150.99 × 2,279.71
  4. Step 4: Simplify right side
    2,767.87x = 9,463,021.26
  5. Step 5: Solve for x
    x = 9,463,021.26/2,767.87
  6. Step 6: Final answer
    x = 3,418.89

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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.