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Finding the Fourth Proportional to 1,824.82, 2,737.49 and 729.09

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Solution

The fourth proportional to 1,824.82, 2,737.49 and 729.09 is: 1,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.82 : 2,737.49 = 729.09 : x
  2. Step 2: Convert to fraction form
    1,824.82/2,737.49 = 729.09/x
  3. Step 3: Cross multiply
    1,824.82x = 2,737.49 × 729.09
  4. Step 4: Simplify right side
    1,824.82x = 1,995,872.94
  5. Step 5: Solve for x
    x = 1,995,872.94/1,824.82
  6. Step 6: Final answer
    x = 1,093.74

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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.