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Finding the Fourth Proportional to 3,296.80, 4,944.65 and 1,447.42

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Solution

The fourth proportional to 3,296.80, 4,944.65 and 1,447.42 is: 2,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.80 : 4,944.65 = 1,447.42 : x
  2. Step 2: Convert to fraction form
    3,296.80/4,944.65 = 1,447.42/x
  3. Step 3: Cross multiply
    3,296.80x = 4,944.65 × 1,447.42
  4. Step 4: Simplify right side
    3,296.80x = 7,156,985.30
  5. Step 5: Solve for x
    x = 7,156,985.30/3,296.80
  6. Step 6: Final answer
    x = 2,170.89

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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.