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Finding the Fourth Proportional to 2,754.40, 3,806.39 and 2,047.27

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Solution

The fourth proportional to 2,754.40, 3,806.39 and 2,047.27 is: 2,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.40 : 3,806.39 = 2,047.27 : x
  2. Step 2: Convert to fraction form
    2,754.40/3,806.39 = 2,047.27/x
  3. Step 3: Cross multiply
    2,754.40x = 3,806.39 × 2,047.27
  4. Step 4: Simplify right side
    2,754.40x = 7,792,708.06
  5. Step 5: Solve for x
    x = 7,792,708.06/2,754.40
  6. Step 6: Final answer
    x = 2,829.19

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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.