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Finding the Fourth Proportional to 2,061.29, 3,092.97 and 965.75

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Solution

The fourth proportional to 2,061.29, 3,092.97 and 965.75 is: 1,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.29 : 3,092.97 = 965.75 : x
  2. Step 2: Convert to fraction form
    2,061.29/3,092.97 = 965.75/x
  3. Step 3: Cross multiply
    2,061.29x = 3,092.97 × 965.75
  4. Step 4: Simplify right side
    2,061.29x = 2,987,023.93
  5. Step 5: Solve for x
    x = 2,987,023.93/2,061.29
  6. Step 6: Final answer
    x = 1,449.10

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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.