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Finding the Fourth Proportional to 2,561.94, 3,843.52 and 830.56

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Solution

The fourth proportional to 2,561.94, 3,843.52 and 830.56 is: 1,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.94 : 3,843.52 = 830.56 : x
  2. Step 2: Convert to fraction form
    2,561.94/3,843.52 = 830.56/x
  3. Step 3: Cross multiply
    2,561.94x = 3,843.52 × 830.56
  4. Step 4: Simplify right side
    2,561.94x = 3,192,273.97
  5. Step 5: Solve for x
    x = 3,192,273.97/2,561.94
  6. Step 6: Final answer
    x = 1,246.04

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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.