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Finding the Fourth Proportional to 2,183.82, 3,016.62 and 1,744.80

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Solution

The fourth proportional to 2,183.82, 3,016.62 and 1,744.80 is: 2,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.82 : 3,016.62 = 1,744.80 : x
  2. Step 2: Convert to fraction form
    2,183.82/3,016.62 = 1,744.80/x
  3. Step 3: Cross multiply
    2,183.82x = 3,016.62 × 1,744.80
  4. Step 4: Simplify right side
    2,183.82x = 5,263,398.58
  5. Step 5: Solve for x
    x = 5,263,398.58/2,183.82
  6. Step 6: Final answer
    x = 2,410.18

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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.