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Finding the Fourth Proportional to 2,032, 3,047.04 and 733.44

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Solution

The fourth proportional to 2,032, 3,047.04 and 733.44 is: 1,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 3,047.04 = 733.44 : x
  2. Step 2: Convert to fraction form
    2,032/3,047.04 = 733.44/x
  3. Step 3: Cross multiply
    2,032x = 3,047.04 × 733.44
  4. Step 4: Simplify right side
    2,032x = 2,234,821.02
  5. Step 5: Solve for x
    x = 2,234,821.02/2,032
  6. Step 6: Final answer
    x = 1,099.81

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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.