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Finding the Fourth Proportional to 2,563.57, 3,842.49 and 2,355.97

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Solution

The fourth proportional to 2,563.57, 3,842.49 and 2,355.97 is: 3,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.57 : 3,842.49 = 2,355.97 : x
  2. Step 2: Convert to fraction form
    2,563.57/3,842.49 = 2,355.97/x
  3. Step 3: Cross multiply
    2,563.57x = 3,842.49 × 2,355.97
  4. Step 4: Simplify right side
    2,563.57x = 9,052,791.17
  5. Step 5: Solve for x
    x = 9,052,791.17/2,563.57
  6. Step 6: Final answer
    x = 3,531.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.