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Finding the Fourth Proportional to 2,728.06, 3,767.14 and 2,028.22

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Solution

The fourth proportional to 2,728.06, 3,767.14 and 2,028.22 is: 2,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.06 : 3,767.14 = 2,028.22 : x
  2. Step 2: Convert to fraction form
    2,728.06/3,767.14 = 2,028.22/x
  3. Step 3: Cross multiply
    2,728.06x = 3,767.14 × 2,028.22
  4. Step 4: Simplify right side
    2,728.06x = 7,640,588.69
  5. Step 5: Solve for x
    x = 7,640,588.69/2,728.06
  6. Step 6: Final answer
    x = 2,800.74

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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.