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Finding the Fourth Proportional to 2,893.27, 4,337.02 and 1,163.11

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Solution

The fourth proportional to 2,893.27, 4,337.02 and 1,163.11 is: 1,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.27 : 4,337.02 = 1,163.11 : x
  2. Step 2: Convert to fraction form
    2,893.27/4,337.02 = 1,163.11/x
  3. Step 3: Cross multiply
    2,893.27x = 4,337.02 × 1,163.11
  4. Step 4: Simplify right side
    2,893.27x = 5,044,431.33
  5. Step 5: Solve for x
    x = 5,044,431.33/2,893.27
  6. Step 6: Final answer
    x = 1,743.51

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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.