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Finding the Fourth Proportional to 3,022.52, 4,169.20 and 1,974.56

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Solution

The fourth proportional to 3,022.52, 4,169.20 and 1,974.56 is: 2,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.52 : 4,169.20 = 1,974.56 : x
  2. Step 2: Convert to fraction form
    3,022.52/4,169.20 = 1,974.56/x
  3. Step 3: Cross multiply
    3,022.52x = 4,169.20 × 1,974.56
  4. Step 4: Simplify right side
    3,022.52x = 8,232,335.55
  5. Step 5: Solve for x
    x = 8,232,335.55/3,022.52
  6. Step 6: Final answer
    x = 2,723.67

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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.