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Finding the Fourth Proportional to 2,462.27, 3,690.90 and 2,102.63

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Solution

The fourth proportional to 2,462.27, 3,690.90 and 2,102.63 is: 3,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.27 : 3,690.90 = 2,102.63 : x
  2. Step 2: Convert to fraction form
    2,462.27/3,690.90 = 2,102.63/x
  3. Step 3: Cross multiply
    2,462.27x = 3,690.90 × 2,102.63
  4. Step 4: Simplify right side
    2,462.27x = 7,760,578.61
  5. Step 5: Solve for x
    x = 7,760,578.61/2,462.27
  6. Step 6: Final answer
    x = 3,151.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.