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Finding the Fourth Proportional to 2,049.02, 3,072 and 952.73

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Solution

The fourth proportional to 2,049.02, 3,072 and 952.73 is: 1,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.02 : 3,072 = 952.73 : x
  2. Step 2: Convert to fraction form
    2,049.02/3,072 = 952.73/x
  3. Step 3: Cross multiply
    2,049.02x = 3,072 × 952.73
  4. Step 4: Simplify right side
    2,049.02x = 2,926,786.56
  5. Step 5: Solve for x
    x = 2,926,786.56/2,049.02
  6. Step 6: Final answer
    x = 1,428.38

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Why These Related Problems?

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