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Finding the Fourth Proportional to 2,639.82, 3,641.97 and 2,034.33

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Solution

The fourth proportional to 2,639.82, 3,641.97 and 2,034.33 is: 2,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.82 : 3,641.97 = 2,034.33 : x
  2. Step 2: Convert to fraction form
    2,639.82/3,641.97 = 2,034.33/x
  3. Step 3: Cross multiply
    2,639.82x = 3,641.97 × 2,034.33
  4. Step 4: Simplify right side
    2,639.82x = 7,408,968.83
  5. Step 5: Solve for x
    x = 7,408,968.83/2,639.82
  6. Step 6: Final answer
    x = 2,806.62

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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.