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Finding the Fourth Proportional to 1,462.50, 2,193.48 and 422.24

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Solution

The fourth proportional to 1,462.50, 2,193.48 and 422.24 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.50 : 2,193.48 = 422.24 : x
  2. Step 2: Convert to fraction form
    1,462.50/2,193.48 = 422.24/x
  3. Step 3: Cross multiply
    1,462.50x = 2,193.48 × 422.24
  4. Step 4: Simplify right side
    1,462.50x = 926,180.48
  5. Step 5: Solve for x
    x = 926,180.48/1,462.50
  6. Step 6: Final answer
    x = 633.29

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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.