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Finding the Fourth Proportional to 1,589, 2,192.82 and 890.48

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Solution

The fourth proportional to 1,589, 2,192.82 and 890.48 is: 1,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589 : 2,192.82 = 890.48 : x
  2. Step 2: Convert to fraction form
    1,589/2,192.82 = 890.48/x
  3. Step 3: Cross multiply
    1,589x = 2,192.82 × 890.48
  4. Step 4: Simplify right side
    1,589x = 1,952,662.35
  5. Step 5: Solve for x
    x = 1,952,662.35/1,589
  6. Step 6: Final answer
    x = 1,228.86

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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.