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Finding the Fourth Proportional to 2,408.43, 3,611.27 and 946.79

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Solution

The fourth proportional to 2,408.43, 3,611.27 and 946.79 is: 1,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.43 : 3,611.27 = 946.79 : x
  2. Step 2: Convert to fraction form
    2,408.43/3,611.27 = 946.79/x
  3. Step 3: Cross multiply
    2,408.43x = 3,611.27 × 946.79
  4. Step 4: Simplify right side
    2,408.43x = 3,419,091.53
  5. Step 5: Solve for x
    x = 3,419,091.53/2,408.43
  6. Step 6: Final answer
    x = 1,419.64

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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.