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Finding the Fourth Proportional to 2,408.56, 3,611.09 and 1,626.62

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Solution

The fourth proportional to 2,408.56, 3,611.09 and 1,626.62 is: 2,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.56 : 3,611.09 = 1,626.62 : x
  2. Step 2: Convert to fraction form
    2,408.56/3,611.09 = 1,626.62/x
  3. Step 3: Cross multiply
    2,408.56x = 3,611.09 × 1,626.62
  4. Step 4: Simplify right side
    2,408.56x = 5,873,863.08
  5. Step 5: Solve for x
    x = 5,873,863.08/2,408.56
  6. Step 6: Final answer
    x = 2,438.75

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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.