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Finding the Fourth Proportional to 1,996.36, 2,754.86 and 1,112.16

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Solution

The fourth proportional to 1,996.36, 2,754.86 and 1,112.16 is: 1,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.36 : 2,754.86 = 1,112.16 : x
  2. Step 2: Convert to fraction form
    1,996.36/2,754.86 = 1,112.16/x
  3. Step 3: Cross multiply
    1,996.36x = 2,754.86 × 1,112.16
  4. Step 4: Simplify right side
    1,996.36x = 3,063,845.10
  5. Step 5: Solve for x
    x = 3,063,845.10/1,996.36
  6. Step 6: Final answer
    x = 1,534.72

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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.