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Finding the Fourth Proportional to 2,065.54, 3,092.15 and 1,991.73

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Solution

The fourth proportional to 2,065.54, 3,092.15 and 1,991.73 is: 2,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.54 : 3,092.15 = 1,991.73 : x
  2. Step 2: Convert to fraction form
    2,065.54/3,092.15 = 1,991.73/x
  3. Step 3: Cross multiply
    2,065.54x = 3,092.15 × 1,991.73
  4. Step 4: Simplify right side
    2,065.54x = 6,158,727.92
  5. Step 5: Solve for x
    x = 6,158,727.92/2,065.54
  6. Step 6: Final answer
    x = 2,981.66

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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.