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Finding the Fourth Proportional to 2,311.35, 3,467.00 and 667.91

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Solution

The fourth proportional to 2,311.35, 3,467.00 and 667.91 is: 1,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.35 : 3,467.00 = 667.91 : x
  2. Step 2: Convert to fraction form
    2,311.35/3,467.00 = 667.91/x
  3. Step 3: Cross multiply
    2,311.35x = 3,467.00 × 667.91
  4. Step 4: Simplify right side
    2,311.35x = 2,315,623.30
  5. Step 5: Solve for x
    x = 2,315,623.30/2,311.35
  6. Step 6: Final answer
    x = 1,001.85

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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.