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Finding the Fourth Proportional to 2,744.07, 3,786.83 and 1,485.14

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Solution

The fourth proportional to 2,744.07, 3,786.83 and 1,485.14 is: 2,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.07 : 3,786.83 = 1,485.14 : x
  2. Step 2: Convert to fraction form
    2,744.07/3,786.83 = 1,485.14/x
  3. Step 3: Cross multiply
    2,744.07x = 3,786.83 × 1,485.14
  4. Step 4: Simplify right side
    2,744.07x = 5,623,976.40
  5. Step 5: Solve for x
    x = 5,623,976.40/2,744.07
  6. Step 6: Final answer
    x = 2,049.50

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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.