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Finding the Fourth Proportional to 1,843.95, 2,764.25 and 919.79

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Solution

The fourth proportional to 1,843.95, 2,764.25 and 919.79 is: 1,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.95 : 2,764.25 = 919.79 : x
  2. Step 2: Convert to fraction form
    1,843.95/2,764.25 = 919.79/x
  3. Step 3: Cross multiply
    1,843.95x = 2,764.25 × 919.79
  4. Step 4: Simplify right side
    1,843.95x = 2,542,519.72
  5. Step 5: Solve for x
    x = 2,542,519.72/1,843.95
  6. Step 6: Final answer
    x = 1,378.85

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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.