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Finding the Fourth Proportional to 2,408.94, 3,324.65 and 1,361.21

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Solution

The fourth proportional to 2,408.94, 3,324.65 and 1,361.21 is: 1,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.94 : 3,324.65 = 1,361.21 : x
  2. Step 2: Convert to fraction form
    2,408.94/3,324.65 = 1,361.21/x
  3. Step 3: Cross multiply
    2,408.94x = 3,324.65 × 1,361.21
  4. Step 4: Simplify right side
    2,408.94x = 4,525,523.40
  5. Step 5: Solve for x
    x = 4,525,523.40/2,408.94
  6. Step 6: Final answer
    x = 1,878.64

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