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Finding the Fourth Proportional to 3,249.90, 4,865.40 and 2,431.80

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Solution

The fourth proportional to 3,249.90, 4,865.40 and 2,431.80 is: 3,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.90 : 4,865.40 = 2,431.80 : x
  2. Step 2: Convert to fraction form
    3,249.90/4,865.40 = 2,431.80/x
  3. Step 3: Cross multiply
    3,249.90x = 4,865.40 × 2,431.80
  4. Step 4: Simplify right side
    3,249.90x = 11,831,679.72
  5. Step 5: Solve for x
    x = 11,831,679.72/3,249.90
  6. Step 6: Final answer
    x = 3,640.63

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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.