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Finding the Fourth Proportional to 2,311.18, 3,467.37 and 667.86

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Solution

The fourth proportional to 2,311.18, 3,467.37 and 667.86 is: 1,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.18 : 3,467.37 = 667.86 : x
  2. Step 2: Convert to fraction form
    2,311.18/3,467.37 = 667.86/x
  3. Step 3: Cross multiply
    2,311.18x = 3,467.37 × 667.86
  4. Step 4: Simplify right side
    2,311.18x = 2,315,717.73
  5. Step 5: Solve for x
    x = 2,315,717.73/2,311.18
  6. Step 6: Final answer
    x = 1,001.96

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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.