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Finding the Fourth Proportional to 2,278.87, 3,418.79 and 739.75

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Solution

The fourth proportional to 2,278.87, 3,418.79 and 739.75 is: 1,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.87 : 3,418.79 = 739.75 : x
  2. Step 2: Convert to fraction form
    2,278.87/3,418.79 = 739.75/x
  3. Step 3: Cross multiply
    2,278.87x = 3,418.79 × 739.75
  4. Step 4: Simplify right side
    2,278.87x = 2,529,049.90
  5. Step 5: Solve for x
    x = 2,529,049.90/2,278.87
  6. Step 6: Final answer
    x = 1,109.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.