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Finding the Fourth Proportional to 1,638, 2,456.75 and 542.23

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Solution

The fourth proportional to 1,638, 2,456.75 and 542.23 is: 813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638 : 2,456.75 = 542.23 : x
  2. Step 2: Convert to fraction form
    1,638/2,456.75 = 542.23/x
  3. Step 3: Cross multiply
    1,638x = 2,456.75 × 542.23
  4. Step 4: Simplify right side
    1,638x = 1,332,118.77
  5. Step 5: Solve for x
    x = 1,332,118.77/1,638
  6. Step 6: Final answer
    x = 813.26

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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.