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Finding the Fourth Proportional to 1,991.23, 2,747.86 and 1,107.02

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Solution

The fourth proportional to 1,991.23, 2,747.86 and 1,107.02 is: 1,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.23 : 2,747.86 = 1,107.02 : x
  2. Step 2: Convert to fraction form
    1,991.23/2,747.86 = 1,107.02/x
  3. Step 3: Cross multiply
    1,991.23x = 2,747.86 × 1,107.02
  4. Step 4: Simplify right side
    1,991.23x = 3,041,940.08
  5. Step 5: Solve for x
    x = 3,041,940.08/1,991.23
  6. Step 6: Final answer
    x = 1,527.67

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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.