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Finding the Fourth Proportional to 2,766.06, 3,816 and 1,981.17

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Solution

The fourth proportional to 2,766.06, 3,816 and 1,981.17 is: 2,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.06 : 3,816 = 1,981.17 : x
  2. Step 2: Convert to fraction form
    2,766.06/3,816 = 1,981.17/x
  3. Step 3: Cross multiply
    2,766.06x = 3,816 × 1,981.17
  4. Step 4: Simplify right side
    2,766.06x = 7,560,144.72
  5. Step 5: Solve for x
    x = 7,560,144.72/2,766.06
  6. Step 6: Final answer
    x = 2,733.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.