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Finding the Fourth Proportional to 3,193.82, 4,406.52 and 2,015.27

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Solution

The fourth proportional to 3,193.82, 4,406.52 and 2,015.27 is: 2,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.82 : 4,406.52 = 2,015.27 : x
  2. Step 2: Convert to fraction form
    3,193.82/4,406.52 = 2,015.27/x
  3. Step 3: Cross multiply
    3,193.82x = 4,406.52 × 2,015.27
  4. Step 4: Simplify right side
    3,193.82x = 8,880,327.56
  5. Step 5: Solve for x
    x = 8,880,327.56/3,193.82
  6. Step 6: Final answer
    x = 2,780.47

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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.