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Finding the Fourth Proportional to 2,563.44, 3,842.19 and 1,392.54

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Solution

The fourth proportional to 2,563.44, 3,842.19 and 1,392.54 is: 2,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.44 : 3,842.19 = 1,392.54 : x
  2. Step 2: Convert to fraction form
    2,563.44/3,842.19 = 1,392.54/x
  3. Step 3: Cross multiply
    2,563.44x = 3,842.19 × 1,392.54
  4. Step 4: Simplify right side
    2,563.44x = 5,350,403.26
  5. Step 5: Solve for x
    x = 5,350,403.26/2,563.44
  6. Step 6: Final answer
    x = 2,087.20

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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.