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Finding the Fourth Proportional to 2,553.73, 3,832.63 and 1,321.49

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Solution

The fourth proportional to 2,553.73, 3,832.63 and 1,321.49 is: 1,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.73 : 3,832.63 = 1,321.49 : x
  2. Step 2: Convert to fraction form
    2,553.73/3,832.63 = 1,321.49/x
  3. Step 3: Cross multiply
    2,553.73x = 3,832.63 × 1,321.49
  4. Step 4: Simplify right side
    2,553.73x = 5,064,788.50
  5. Step 5: Solve for x
    x = 5,064,788.50/2,553.73
  6. Step 6: Final answer
    x = 1,983.29

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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.