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Finding the Fourth Proportional to 2,408.14, 3,611.22 and 1,311.40

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Solution

The fourth proportional to 2,408.14, 3,611.22 and 1,311.40 is: 1,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.14 : 3,611.22 = 1,311.40 : x
  2. Step 2: Convert to fraction form
    2,408.14/3,611.22 = 1,311.40/x
  3. Step 3: Cross multiply
    2,408.14x = 3,611.22 × 1,311.40
  4. Step 4: Simplify right side
    2,408.14x = 4,735,753.91
  5. Step 5: Solve for x
    x = 4,735,753.91/2,408.14
  6. Step 6: Final answer
    x = 1,966.56

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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.