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Finding the Fourth Proportional to 2,061.09, 3,091.23 and 965.97

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Solution

The fourth proportional to 2,061.09, 3,091.23 and 965.97 is: 1,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.09 : 3,091.23 = 965.97 : x
  2. Step 2: Convert to fraction form
    2,061.09/3,091.23 = 965.97/x
  3. Step 3: Cross multiply
    2,061.09x = 3,091.23 × 965.97
  4. Step 4: Simplify right side
    2,061.09x = 2,986,035.44
  5. Step 5: Solve for x
    x = 2,986,035.44/2,061.09
  6. Step 6: Final answer
    x = 1,448.77

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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.