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Finding the Fourth Proportional to 3,288.70, 4,933.10 and 1,209.20

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Solution

The fourth proportional to 3,288.70, 4,933.10 and 1,209.20 is: 1,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.70 : 4,933.10 = 1,209.20 : x
  2. Step 2: Convert to fraction form
    3,288.70/4,933.10 = 1,209.20/x
  3. Step 3: Cross multiply
    3,288.70x = 4,933.10 × 1,209.20
  4. Step 4: Simplify right side
    3,288.70x = 5,965,082.88
  5. Step 5: Solve for x
    x = 5,965,082.88/3,288.70
  6. Step 6: Final answer
    x = 1,813.81

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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.