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Finding the Fourth Proportional to 1,832.98, 2,749.92 and 534.46

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Solution

The fourth proportional to 1,832.98, 2,749.92 and 534.46 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.98 : 2,749.92 = 534.46 : x
  2. Step 2: Convert to fraction form
    1,832.98/2,749.92 = 534.46/x
  3. Step 3: Cross multiply
    1,832.98x = 2,749.92 × 534.46
  4. Step 4: Simplify right side
    1,832.98x = 1,469,722.24
  5. Step 5: Solve for x
    x = 1,469,722.24/1,832.98
  6. Step 6: Final answer
    x = 801.82

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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.