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Finding the Fourth Proportional to 2,764.46, 4,155.81 and 2,561.56

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Solution

The fourth proportional to 2,764.46, 4,155.81 and 2,561.56 is: 3,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.46 : 4,155.81 = 2,561.56 : x
  2. Step 2: Convert to fraction form
    2,764.46/4,155.81 = 2,561.56/x
  3. Step 3: Cross multiply
    2,764.46x = 4,155.81 × 2,561.56
  4. Step 4: Simplify right side
    2,764.46x = 10,645,323.08
  5. Step 5: Solve for x
    x = 10,645,323.08/2,764.46
  6. Step 6: Final answer
    x = 3,850.78

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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.