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Finding the Fourth Proportional to 2,768.95, 4,150.74 and 1,778.97

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Solution

The fourth proportional to 2,768.95, 4,150.74 and 1,778.97 is: 2,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.95 : 4,150.74 = 1,778.97 : x
  2. Step 2: Convert to fraction form
    2,768.95/4,150.74 = 1,778.97/x
  3. Step 3: Cross multiply
    2,768.95x = 4,150.74 × 1,778.97
  4. Step 4: Simplify right side
    2,768.95x = 7,384,041.94
  5. Step 5: Solve for x
    x = 7,384,041.94/2,768.95
  6. Step 6: Final answer
    x = 2,666.73

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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.