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Finding the Fourth Proportional to 1,996.17, 2,751.75 and 1,680.27

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Solution

The fourth proportional to 1,996.17, 2,751.75 and 1,680.27 is: 2,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.17 : 2,751.75 = 1,680.27 : x
  2. Step 2: Convert to fraction form
    1,996.17/2,751.75 = 1,680.27/x
  3. Step 3: Cross multiply
    1,996.17x = 2,751.75 × 1,680.27
  4. Step 4: Simplify right side
    1,996.17x = 4,623,682.97
  5. Step 5: Solve for x
    x = 4,623,682.97/1,996.17
  6. Step 6: Final answer
    x = 2,316.28

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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.