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Finding the Fourth Proportional to 1,449.58, 2,163.87 and 1,274.42

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Solution

The fourth proportional to 1,449.58, 2,163.87 and 1,274.42 is: 1,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.58 : 2,163.87 = 1,274.42 : x
  2. Step 2: Convert to fraction form
    1,449.58/2,163.87 = 1,274.42/x
  3. Step 3: Cross multiply
    1,449.58x = 2,163.87 × 1,274.42
  4. Step 4: Simplify right side
    1,449.58x = 2,757,684.62
  5. Step 5: Solve for x
    x = 2,757,684.62/1,449.58
  6. Step 6: Final answer
    x = 1,902.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.