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Finding the Fourth Proportional to 1,996.63, 2,754.96 and 1,112.27

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Solution

The fourth proportional to 1,996.63, 2,754.96 and 1,112.27 is: 1,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.63 : 2,754.96 = 1,112.27 : x
  2. Step 2: Convert to fraction form
    1,996.63/2,754.96 = 1,112.27/x
  3. Step 3: Cross multiply
    1,996.63x = 2,754.96 × 1,112.27
  4. Step 4: Simplify right side
    1,996.63x = 3,064,241.41
  5. Step 5: Solve for x
    x = 3,064,241.41/1,996.63
  6. Step 6: Final answer
    x = 1,534.71

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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.