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Finding the Fourth Proportional to 2,019.39, 3,022.85 and 1,724.19

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Solution

The fourth proportional to 2,019.39, 3,022.85 and 1,724.19 is: 2,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.39 : 3,022.85 = 1,724.19 : x
  2. Step 2: Convert to fraction form
    2,019.39/3,022.85 = 1,724.19/x
  3. Step 3: Cross multiply
    2,019.39x = 3,022.85 × 1,724.19
  4. Step 4: Simplify right side
    2,019.39x = 5,211,959.12
  5. Step 5: Solve for x
    x = 5,211,959.12/2,019.39
  6. Step 6: Final answer
    x = 2,580.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.