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Finding the Fourth Proportional to 2,207.91, 3,308.97 and 908.67

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Solution

The fourth proportional to 2,207.91, 3,308.97 and 908.67 is: 1,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.91 : 3,308.97 = 908.67 : x
  2. Step 2: Convert to fraction form
    2,207.91/3,308.97 = 908.67/x
  3. Step 3: Cross multiply
    2,207.91x = 3,308.97 × 908.67
  4. Step 4: Simplify right side
    2,207.91x = 3,006,761.77
  5. Step 5: Solve for x
    x = 3,006,761.77/2,207.91
  6. Step 6: Final answer
    x = 1,361.81

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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.