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Finding the Fourth Proportional to 3,288.33, 4,932.86 and 1,209.33

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Solution

The fourth proportional to 3,288.33, 4,932.86 and 1,209.33 is: 1,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.33 : 4,932.86 = 1,209.33 : x
  2. Step 2: Convert to fraction form
    3,288.33/4,932.86 = 1,209.33/x
  3. Step 3: Cross multiply
    3,288.33x = 4,932.86 × 1,209.33
  4. Step 4: Simplify right side
    3,288.33x = 5,965,449.54
  5. Step 5: Solve for x
    x = 5,965,449.54/3,288.33
  6. Step 6: Final answer
    x = 1,814.13

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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.