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Finding the Fourth Proportional to 1,462.42, 2,194.01 and 422.51

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Solution

The fourth proportional to 1,462.42, 2,194.01 and 422.51 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.42 : 2,194.01 = 422.51 : x
  2. Step 2: Convert to fraction form
    1,462.42/2,194.01 = 422.51/x
  3. Step 3: Cross multiply
    1,462.42x = 2,194.01 × 422.51
  4. Step 4: Simplify right side
    1,462.42x = 926,982.04
  5. Step 5: Solve for x
    x = 926,982.04/1,462.42
  6. Step 6: Final answer
    x = 633.87

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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.