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Finding the Fourth Proportional to 2,563.48, 3,845.22 and 1,468.54

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Solution

The fourth proportional to 2,563.48, 3,845.22 and 1,468.54 is: 2,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.48 : 3,845.22 = 1,468.54 : x
  2. Step 2: Convert to fraction form
    2,563.48/3,845.22 = 1,468.54/x
  3. Step 3: Cross multiply
    2,563.48x = 3,845.22 × 1,468.54
  4. Step 4: Simplify right side
    2,563.48x = 5,646,859.38
  5. Step 5: Solve for x
    x = 5,646,859.38/2,563.48
  6. Step 6: Final answer
    x = 2,202.81

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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.