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Finding the Fourth Proportional to 2,462.01, 3,401.42 and 2,092.85

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Solution

The fourth proportional to 2,462.01, 3,401.42 and 2,092.85 is: 2,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.01 : 3,401.42 = 2,092.85 : x
  2. Step 2: Convert to fraction form
    2,462.01/3,401.42 = 2,092.85/x
  3. Step 3: Cross multiply
    2,462.01x = 3,401.42 × 2,092.85
  4. Step 4: Simplify right side
    2,462.01x = 7,118,634.38
  5. Step 5: Solve for x
    x = 7,118,634.38/2,462.01
  6. Step 6: Final answer
    x = 2,891.39

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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.