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Finding the Fourth Proportional to 1,996.07, 2,753.57 and 1,199.00

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Solution

The fourth proportional to 1,996.07, 2,753.57 and 1,199.00 is: 1,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.07 : 2,753.57 = 1,199.00 : x
  2. Step 2: Convert to fraction form
    1,996.07/2,753.57 = 1,199.00/x
  3. Step 3: Cross multiply
    1,996.07x = 2,753.57 × 1,199.00
  4. Step 4: Simplify right side
    1,996.07x = 3,301,540.31
  5. Step 5: Solve for x
    x = 3,301,540.31/1,996.07
  6. Step 6: Final answer
    x = 1,654.02

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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.