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Finding the Fourth Proportional to 2,204.35, 3,306.29 and 817.43

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Solution

The fourth proportional to 2,204.35, 3,306.29 and 817.43 is: 1,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.35 : 3,306.29 = 817.43 : x
  2. Step 2: Convert to fraction form
    2,204.35/3,306.29 = 817.43/x
  3. Step 3: Cross multiply
    2,204.35x = 3,306.29 × 817.43
  4. Step 4: Simplify right side
    2,204.35x = 2,702,640.02
  5. Step 5: Solve for x
    x = 2,702,640.02/2,204.35
  6. Step 6: Final answer
    x = 1,226.05

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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.