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Finding the Fourth Proportional to 2,762.15, 4,163.91 and 2,578.82

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Solution

The fourth proportional to 2,762.15, 4,163.91 and 2,578.82 is: 3,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.15 : 4,163.91 = 2,578.82 : x
  2. Step 2: Convert to fraction form
    2,762.15/4,163.91 = 2,578.82/x
  3. Step 3: Cross multiply
    2,762.15x = 4,163.91 × 2,578.82
  4. Step 4: Simplify right side
    2,762.15x = 10,737,961.49
  5. Step 5: Solve for x
    x = 10,737,961.49/2,762.15
  6. Step 6: Final answer
    x = 3,887.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.