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Finding the Fourth Proportional to 1,950.65, 2,912.09 and 1,882.31

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Solution

The fourth proportional to 1,950.65, 2,912.09 and 1,882.31 is: 2,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.65 : 2,912.09 = 1,882.31 : x
  2. Step 2: Convert to fraction form
    1,950.65/2,912.09 = 1,882.31/x
  3. Step 3: Cross multiply
    1,950.65x = 2,912.09 × 1,882.31
  4. Step 4: Simplify right side
    1,950.65x = 5,481,456.13
  5. Step 5: Solve for x
    x = 5,481,456.13/1,950.65
  6. Step 6: Final answer
    x = 2,810.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.