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Finding the Fourth Proportional to 3,194.34, 4,408.02 and 1,797

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Solution

The fourth proportional to 3,194.34, 4,408.02 and 1,797 is: 2,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.34 : 4,408.02 = 1,797 : x
  2. Step 2: Convert to fraction form
    3,194.34/4,408.02 = 1,797/x
  3. Step 3: Cross multiply
    3,194.34x = 4,408.02 × 1,797
  4. Step 4: Simplify right side
    3,194.34x = 7,921,211.94
  5. Step 5: Solve for x
    x = 7,921,211.94/3,194.34
  6. Step 6: Final answer
    x = 2,479.76

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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.