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Finding the Fourth Proportional to 2,611.87, 3,919.29 and 1,224.72

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Solution

The fourth proportional to 2,611.87, 3,919.29 and 1,224.72 is: 1,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.87 : 3,919.29 = 1,224.72 : x
  2. Step 2: Convert to fraction form
    2,611.87/3,919.29 = 1,224.72/x
  3. Step 3: Cross multiply
    2,611.87x = 3,919.29 × 1,224.72
  4. Step 4: Simplify right side
    2,611.87x = 4,800,028.26
  5. Step 5: Solve for x
    x = 4,800,028.26/2,611.87
  6. Step 6: Final answer
    x = 1,837.77

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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.