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Finding the Fourth Proportional to 1,630.43, 2,249.96 and 922.21

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Solution

The fourth proportional to 1,630.43, 2,249.96 and 922.21 is: 1,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.43 : 2,249.96 = 922.21 : x
  2. Step 2: Convert to fraction form
    1,630.43/2,249.96 = 922.21/x
  3. Step 3: Cross multiply
    1,630.43x = 2,249.96 × 922.21
  4. Step 4: Simplify right side
    1,630.43x = 2,074,944.98
  5. Step 5: Solve for x
    x = 2,074,944.98/1,630.43
  6. Step 6: Final answer
    x = 1,272.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.