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Finding the Fourth Proportional to 2,279.99, 3,419.97 and 548.61

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Solution

The fourth proportional to 2,279.99, 3,419.97 and 548.61 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.99 : 3,419.97 = 548.61 : x
  2. Step 2: Convert to fraction form
    2,279.99/3,419.97 = 548.61/x
  3. Step 3: Cross multiply
    2,279.99x = 3,419.97 × 548.61
  4. Step 4: Simplify right side
    2,279.99x = 1,876,231.11
  5. Step 5: Solve for x
    x = 1,876,231.11/2,279.99
  6. Step 6: Final answer
    x = 822.91

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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.