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Finding the Fourth Proportional to 3,207.80, 4,809.85 and 1,205.69

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Solution

The fourth proportional to 3,207.80, 4,809.85 and 1,205.69 is: 1,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.80 : 4,809.85 = 1,205.69 : x
  2. Step 2: Convert to fraction form
    3,207.80/4,809.85 = 1,205.69/x
  3. Step 3: Cross multiply
    3,207.80x = 4,809.85 × 1,205.69
  4. Step 4: Simplify right side
    3,207.80x = 5,799,160.98
  5. Step 5: Solve for x
    x = 5,799,160.98/3,207.80
  6. Step 6: Final answer
    x = 1,807.83

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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.