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Finding the Fourth Proportional to 3,288.62, 4,933.04 and 1,209.24

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Solution

The fourth proportional to 3,288.62, 4,933.04 and 1,209.24 is: 1,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.62 : 4,933.04 = 1,209.24 : x
  2. Step 2: Convert to fraction form
    3,288.62/4,933.04 = 1,209.24/x
  3. Step 3: Cross multiply
    3,288.62x = 4,933.04 × 1,209.24
  4. Step 4: Simplify right side
    3,288.62x = 5,965,229.29
  5. Step 5: Solve for x
    x = 5,965,229.29/3,288.62
  6. Step 6: Final answer
    x = 1,813.90

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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.