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Finding the Fourth Proportional to 2,205.09, 3,306.29 and 818.42

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Solution

The fourth proportional to 2,205.09, 3,306.29 and 818.42 is: 1,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.09 : 3,306.29 = 818.42 : x
  2. Step 2: Convert to fraction form
    2,205.09/3,306.29 = 818.42/x
  3. Step 3: Cross multiply
    2,205.09x = 3,306.29 × 818.42
  4. Step 4: Simplify right side
    2,205.09x = 2,705,913.24
  5. Step 5: Solve for x
    x = 2,705,913.24/2,205.09
  6. Step 6: Final answer
    x = 1,227.12

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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.