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Finding the Fourth Proportional to 2,776.19, 4,163.81 and 927.09

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Solution

The fourth proportional to 2,776.19, 4,163.81 and 927.09 is: 1,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.19 : 4,163.81 = 927.09 : x
  2. Step 2: Convert to fraction form
    2,776.19/4,163.81 = 927.09/x
  3. Step 3: Cross multiply
    2,776.19x = 4,163.81 × 927.09
  4. Step 4: Simplify right side
    2,776.19x = 3,860,221.98
  5. Step 5: Solve for x
    x = 3,860,221.98/2,776.19
  6. Step 6: Final answer
    x = 1,390.48

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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.