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Finding the Fourth Proportional to 2,589.75, 3,874.91 and 1,611.27

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Solution

The fourth proportional to 2,589.75, 3,874.91 and 1,611.27 is: 2,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.75 : 3,874.91 = 1,611.27 : x
  2. Step 2: Convert to fraction form
    2,589.75/3,874.91 = 1,611.27/x
  3. Step 3: Cross multiply
    2,589.75x = 3,874.91 × 1,611.27
  4. Step 4: Simplify right side
    2,589.75x = 6,243,518.18
  5. Step 5: Solve for x
    x = 6,243,518.18/2,589.75
  6. Step 6: Final answer
    x = 2,410.86

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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.