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Finding the Fourth Proportional to 2,408.76, 3,324.39 and 1,361.03

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Solution

The fourth proportional to 2,408.76, 3,324.39 and 1,361.03 is: 1,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.76 : 3,324.39 = 1,361.03 : x
  2. Step 2: Convert to fraction form
    2,408.76/3,324.39 = 1,361.03/x
  3. Step 3: Cross multiply
    2,408.76x = 3,324.39 × 1,361.03
  4. Step 4: Simplify right side
    2,408.76x = 4,524,577.90
  5. Step 5: Solve for x
    x = 4,524,577.90/2,408.76
  6. Step 6: Final answer
    x = 1,878.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.