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Finding the Fourth Proportional to 2,778.77, 4,163.42 and 2,428.25

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Solution

The fourth proportional to 2,778.77, 4,163.42 and 2,428.25 is: 3,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.77 : 4,163.42 = 2,428.25 : x
  2. Step 2: Convert to fraction form
    2,778.77/4,163.42 = 2,428.25/x
  3. Step 3: Cross multiply
    2,778.77x = 4,163.42 × 2,428.25
  4. Step 4: Simplify right side
    2,778.77x = 10,109,791.66
  5. Step 5: Solve for x
    x = 10,109,791.66/2,778.77
  6. Step 6: Final answer
    x = 3,638.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.