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Finding the Fourth Proportional to 1,882.52, 2,822.34 and 729.24

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Solution

The fourth proportional to 1,882.52, 2,822.34 and 729.24 is: 1,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.52 : 2,822.34 = 729.24 : x
  2. Step 2: Convert to fraction form
    1,882.52/2,822.34 = 729.24/x
  3. Step 3: Cross multiply
    1,882.52x = 2,822.34 × 729.24
  4. Step 4: Simplify right side
    1,882.52x = 2,058,163.22
  5. Step 5: Solve for x
    x = 2,058,163.22/1,882.52
  6. Step 6: Final answer
    x = 1,093.30

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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.