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Finding the Fourth Proportional to 2,203.68, 3,306.81 and 817.99

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Solution

The fourth proportional to 2,203.68, 3,306.81 and 817.99 is: 1,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.68 : 3,306.81 = 817.99 : x
  2. Step 2: Convert to fraction form
    2,203.68/3,306.81 = 817.99/x
  3. Step 3: Cross multiply
    2,203.68x = 3,306.81 × 817.99
  4. Step 4: Simplify right side
    2,203.68x = 2,704,947.44
  5. Step 5: Solve for x
    x = 2,704,947.44/2,203.68
  6. Step 6: Final answer
    x = 1,227.47

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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.