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Finding the Fourth Proportional to 2,563.96, 3,842.22 and 1,392.97

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Solution

The fourth proportional to 2,563.96, 3,842.22 and 1,392.97 is: 2,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.96 : 3,842.22 = 1,392.97 : x
  2. Step 2: Convert to fraction form
    2,563.96/3,842.22 = 1,392.97/x
  3. Step 3: Cross multiply
    2,563.96x = 3,842.22 × 1,392.97
  4. Step 4: Simplify right side
    2,563.96x = 5,352,097.19
  5. Step 5: Solve for x
    x = 5,352,097.19/2,563.96
  6. Step 6: Final answer
    x = 2,087.43

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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.