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Finding the Fourth Proportional to 2,311.07, 3,467.21 and 667.74

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Solution

The fourth proportional to 2,311.07, 3,467.21 and 667.74 is: 1,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.07 : 3,467.21 = 667.74 : x
  2. Step 2: Convert to fraction form
    2,311.07/3,467.21 = 667.74/x
  3. Step 3: Cross multiply
    2,311.07x = 3,467.21 × 667.74
  4. Step 4: Simplify right side
    2,311.07x = 2,315,204.47
  5. Step 5: Solve for x
    x = 2,315,204.47/2,311.07
  6. Step 6: Final answer
    x = 1,001.79

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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.