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Finding the Fourth Proportional to 1,991.36, 2,747.94 and 1,107.10

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Solution

The fourth proportional to 1,991.36, 2,747.94 and 1,107.10 is: 1,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.36 : 2,747.94 = 1,107.10 : x
  2. Step 2: Convert to fraction form
    1,991.36/2,747.94 = 1,107.10/x
  3. Step 3: Cross multiply
    1,991.36x = 2,747.94 × 1,107.10
  4. Step 4: Simplify right side
    1,991.36x = 3,042,244.37
  5. Step 5: Solve for x
    x = 3,042,244.37/1,991.36
  6. Step 6: Final answer
    x = 1,527.72

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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.