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Finding the Fourth Proportional to 3,207.69, 4,805.14 and 2,108.73

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Solution

The fourth proportional to 3,207.69, 4,805.14 and 2,108.73 is: 3,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.69 : 4,805.14 = 2,108.73 : x
  2. Step 2: Convert to fraction form
    3,207.69/4,805.14 = 2,108.73/x
  3. Step 3: Cross multiply
    3,207.69x = 4,805.14 × 2,108.73
  4. Step 4: Simplify right side
    3,207.69x = 10,132,742.87
  5. Step 5: Solve for x
    x = 10,132,742.87/3,207.69
  6. Step 6: Final answer
    x = 3,158.89

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