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Finding the Fourth Proportional to 2,311.89, 3,468.41 and 668.42

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Solution

The fourth proportional to 2,311.89, 3,468.41 and 668.42 is: 1,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.89 : 3,468.41 = 668.42 : x
  2. Step 2: Convert to fraction form
    2,311.89/3,468.41 = 668.42/x
  3. Step 3: Cross multiply
    2,311.89x = 3,468.41 × 668.42
  4. Step 4: Simplify right side
    2,311.89x = 2,318,364.95
  5. Step 5: Solve for x
    x = 2,318,364.95/2,311.89
  6. Step 6: Final answer
    x = 1,002.80

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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.