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Finding the Fourth Proportional to 1,462.82, 2,194.26 and 422.90

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Solution

The fourth proportional to 1,462.82, 2,194.26 and 422.90 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.82 : 2,194.26 = 422.90 : x
  2. Step 2: Convert to fraction form
    1,462.82/2,194.26 = 422.90/x
  3. Step 3: Cross multiply
    1,462.82x = 2,194.26 × 422.90
  4. Step 4: Simplify right side
    1,462.82x = 927,952.55
  5. Step 5: Solve for x
    x = 927,952.55/1,462.82
  6. Step 6: Final answer
    x = 634.36

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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.