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Finding the Fourth Proportional to 3,172.05, 4,754.79 and 1,324.23

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Solution

The fourth proportional to 3,172.05, 4,754.79 and 1,324.23 is: 1,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.05 : 4,754.79 = 1,324.23 : x
  2. Step 2: Convert to fraction form
    3,172.05/4,754.79 = 1,324.23/x
  3. Step 3: Cross multiply
    3,172.05x = 4,754.79 × 1,324.23
  4. Step 4: Simplify right side
    3,172.05x = 6,296,435.56
  5. Step 5: Solve for x
    x = 6,296,435.56/3,172.05
  6. Step 6: Final answer
    x = 1,984.97

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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.