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Finding the Fourth Proportional to 2,498.97, 3,449.75 and 1,450.83

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Solution

The fourth proportional to 2,498.97, 3,449.75 and 1,450.83 is: 2,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.97 : 3,449.75 = 1,450.83 : x
  2. Step 2: Convert to fraction form
    2,498.97/3,449.75 = 1,450.83/x
  3. Step 3: Cross multiply
    2,498.97x = 3,449.75 × 1,450.83
  4. Step 4: Simplify right side
    2,498.97x = 5,004,993.54
  5. Step 5: Solve for x
    x = 5,004,993.54/2,498.97
  6. Step 6: Final answer
    x = 2,002.82

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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.