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Finding the Fourth Proportional to 2,204.34, 3,306.64 and 799.07

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Solution

The fourth proportional to 2,204.34, 3,306.64 and 799.07 is: 1,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.34 : 3,306.64 = 799.07 : x
  2. Step 2: Convert to fraction form
    2,204.34/3,306.64 = 799.07/x
  3. Step 3: Cross multiply
    2,204.34x = 3,306.64 × 799.07
  4. Step 4: Simplify right side
    2,204.34x = 2,642,221.29
  5. Step 5: Solve for x
    x = 2,642,221.29/2,204.34
  6. Step 6: Final answer
    x = 1,198.65

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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.