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Finding the Fourth Proportional to 2,462.20, 3,672.54 and 2,092.84

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Solution

The fourth proportional to 2,462.20, 3,672.54 and 2,092.84 is: 3,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.20 : 3,672.54 = 2,092.84 : x
  2. Step 2: Convert to fraction form
    2,462.20/3,672.54 = 2,092.84/x
  3. Step 3: Cross multiply
    2,462.20x = 3,672.54 × 2,092.84
  4. Step 4: Simplify right side
    2,462.20x = 7,686,029.43
  5. Step 5: Solve for x
    x = 7,686,029.43/2,462.20
  6. Step 6: Final answer
    x = 3,121.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.