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Finding the Fourth Proportional to 2,789.94, 4,185.46 and 842.26

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Solution

The fourth proportional to 2,789.94, 4,185.46 and 842.26 is: 1,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.94 : 4,185.46 = 842.26 : x
  2. Step 2: Convert to fraction form
    2,789.94/4,185.46 = 842.26/x
  3. Step 3: Cross multiply
    2,789.94x = 4,185.46 × 842.26
  4. Step 4: Simplify right side
    2,789.94x = 3,525,245.54
  5. Step 5: Solve for x
    x = 3,525,245.54/2,789.94
  6. Step 6: Final answer
    x = 1,263.56

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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.