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Finding the Fourth Proportional to 2,496.82, 3,443.97 and 1,448.14

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Solution

The fourth proportional to 2,496.82, 3,443.97 and 1,448.14 is: 1,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.82 : 3,443.97 = 1,448.14 : x
  2. Step 2: Convert to fraction form
    2,496.82/3,443.97 = 1,448.14/x
  3. Step 3: Cross multiply
    2,496.82x = 3,443.97 × 1,448.14
  4. Step 4: Simplify right side
    2,496.82x = 4,987,350.72
  5. Step 5: Solve for x
    x = 4,987,350.72/2,496.82
  6. Step 6: Final answer
    x = 1,997.48

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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.