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Finding the Fourth Proportional to 2,311.08, 3,467.16 and 667.60

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Solution

The fourth proportional to 2,311.08, 3,467.16 and 667.60 is: 1,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.08 : 3,467.16 = 667.60 : x
  2. Step 2: Convert to fraction form
    2,311.08/3,467.16 = 667.60/x
  3. Step 3: Cross multiply
    2,311.08x = 3,467.16 × 667.60
  4. Step 4: Simplify right side
    2,311.08x = 2,314,676.02
  5. Step 5: Solve for x
    x = 2,314,676.02/2,311.08
  6. Step 6: Final answer
    x = 1,001.56

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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.