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Finding the Fourth Proportional to 2,408.62, 3,311.12 and 2,071.28

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Solution

The fourth proportional to 2,408.62, 3,311.12 and 2,071.28 is: 2,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.62 : 3,311.12 = 2,071.28 : x
  2. Step 2: Convert to fraction form
    2,408.62/3,311.12 = 2,071.28/x
  3. Step 3: Cross multiply
    2,408.62x = 3,311.12 × 2,071.28
  4. Step 4: Simplify right side
    2,408.62x = 6,858,270.09
  5. Step 5: Solve for x
    x = 6,858,270.09/2,408.62
  6. Step 6: Final answer
    x = 2,847.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.