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Finding the Fourth Proportional to 1,563.82, 2,352.21 and 1,414.78

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Solution

The fourth proportional to 1,563.82, 2,352.21 and 1,414.78 is: 2,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.82 : 2,352.21 = 1,414.78 : x
  2. Step 2: Convert to fraction form
    1,563.82/2,352.21 = 1,414.78/x
  3. Step 3: Cross multiply
    1,563.82x = 2,352.21 × 1,414.78
  4. Step 4: Simplify right side
    1,563.82x = 3,327,859.66
  5. Step 5: Solve for x
    x = 3,327,859.66/1,563.82
  6. Step 6: Final answer
    x = 2,128.03

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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.