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Finding the Fourth Proportional to 1,996.12, 2,754.69 and 1,112.01

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Solution

The fourth proportional to 1,996.12, 2,754.69 and 1,112.01 is: 1,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.12 : 2,754.69 = 1,112.01 : x
  2. Step 2: Convert to fraction form
    1,996.12/2,754.69 = 1,112.01/x
  3. Step 3: Cross multiply
    1,996.12x = 2,754.69 × 1,112.01
  4. Step 4: Simplify right side
    1,996.12x = 3,063,242.83
  5. Step 5: Solve for x
    x = 3,063,242.83/1,996.12
  6. Step 6: Final answer
    x = 1,534.60

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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.