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Finding the Fourth Proportional to 2,563.88, 3,845.82 and 1,467.48

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Solution

The fourth proportional to 2,563.88, 3,845.82 and 1,467.48 is: 2,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.88 : 3,845.82 = 1,467.48 : x
  2. Step 2: Convert to fraction form
    2,563.88/3,845.82 = 1,467.48/x
  3. Step 3: Cross multiply
    2,563.88x = 3,845.82 × 1,467.48
  4. Step 4: Simplify right side
    2,563.88x = 5,643,679.73
  5. Step 5: Solve for x
    x = 5,643,679.73/2,563.88
  6. Step 6: Final answer
    x = 2,201.23

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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.