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Finding the Fourth Proportional to 2,047.71, 3,072.18 and 952.73

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Solution

The fourth proportional to 2,047.71, 3,072.18 and 952.73 is: 1,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.71 : 3,072.18 = 952.73 : x
  2. Step 2: Convert to fraction form
    2,047.71/3,072.18 = 952.73/x
  3. Step 3: Cross multiply
    2,047.71x = 3,072.18 × 952.73
  4. Step 4: Simplify right side
    2,047.71x = 2,926,942.69
  5. Step 5: Solve for x
    x = 2,926,942.69/2,047.71
  6. Step 6: Final answer
    x = 1,429.37

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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.