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Finding the Fourth Proportional to 2,834.93, 3,912.12 and 1,575.91

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Solution

The fourth proportional to 2,834.93, 3,912.12 and 1,575.91 is: 2,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.93 : 3,912.12 = 1,575.91 : x
  2. Step 2: Convert to fraction form
    2,834.93/3,912.12 = 1,575.91/x
  3. Step 3: Cross multiply
    2,834.93x = 3,912.12 × 1,575.91
  4. Step 4: Simplify right side
    2,834.93x = 6,165,149.03
  5. Step 5: Solve for x
    x = 6,165,149.03/2,834.93
  6. Step 6: Final answer
    x = 2,174.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.