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Finding the Fourth Proportional to 2,133.65, 3,198.57 and 1,022.39

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Solution

The fourth proportional to 2,133.65, 3,198.57 and 1,022.39 is: 1,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.65 : 3,198.57 = 1,022.39 : x
  2. Step 2: Convert to fraction form
    2,133.65/3,198.57 = 1,022.39/x
  3. Step 3: Cross multiply
    2,133.65x = 3,198.57 × 1,022.39
  4. Step 4: Simplify right side
    2,133.65x = 3,270,169.99
  5. Step 5: Solve for x
    x = 3,270,169.99/2,133.65
  6. Step 6: Final answer
    x = 1,532.66

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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.