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Finding the Fourth Proportional to 2,776.28, 4,163.02 and 926.75

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Solution

The fourth proportional to 2,776.28, 4,163.02 and 926.75 is: 1,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.28 : 4,163.02 = 926.75 : x
  2. Step 2: Convert to fraction form
    2,776.28/4,163.02 = 926.75/x
  3. Step 3: Cross multiply
    2,776.28x = 4,163.02 × 926.75
  4. Step 4: Simplify right side
    2,776.28x = 3,858,086.88
  5. Step 5: Solve for x
    x = 3,858,086.88/2,776.28
  6. Step 6: Final answer
    x = 1,389.66

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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.