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Finding the Fourth Proportional to 2,449.26, 3,381.42 and 1,611.42

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Solution

The fourth proportional to 2,449.26, 3,381.42 and 1,611.42 is: 2,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.26 : 3,381.42 = 1,611.42 : x
  2. Step 2: Convert to fraction form
    2,449.26/3,381.42 = 1,611.42/x
  3. Step 3: Cross multiply
    2,449.26x = 3,381.42 × 1,611.42
  4. Step 4: Simplify right side
    2,449.26x = 5,448,887.82
  5. Step 5: Solve for x
    x = 5,448,887.82/2,449.26
  6. Step 6: Final answer
    x = 2,224.71

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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.