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Finding the Fourth Proportional to 3,194.25, 4,408.11 and 1,797

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Solution

The fourth proportional to 3,194.25, 4,408.11 and 1,797 is: 2,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.25 : 4,408.11 = 1,797 : x
  2. Step 2: Convert to fraction form
    3,194.25/4,408.11 = 1,797/x
  3. Step 3: Cross multiply
    3,194.25x = 4,408.11 × 1,797
  4. Step 4: Simplify right side
    3,194.25x = 7,921,373.67
  5. Step 5: Solve for x
    x = 7,921,373.67/3,194.25
  6. Step 6: Final answer
    x = 2,479.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.