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Finding the Fourth Proportional to 2,311.42, 3,466.72 and 667.57

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Solution

The fourth proportional to 2,311.42, 3,466.72 and 667.57 is: 1,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.42 : 3,466.72 = 667.57 : x
  2. Step 2: Convert to fraction form
    2,311.42/3,466.72 = 667.57/x
  3. Step 3: Cross multiply
    2,311.42x = 3,466.72 × 667.57
  4. Step 4: Simplify right side
    2,311.42x = 2,314,278.27
  5. Step 5: Solve for x
    x = 2,314,278.27/2,311.42
  6. Step 6: Final answer
    x = 1,001.24

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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.