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Finding the Fourth Proportional to 2,431.66, 3,359.82 and 2,369.44

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Solution

The fourth proportional to 2,431.66, 3,359.82 and 2,369.44 is: 3,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.66 : 3,359.82 = 2,369.44 : x
  2. Step 2: Convert to fraction form
    2,431.66/3,359.82 = 2,369.44/x
  3. Step 3: Cross multiply
    2,431.66x = 3,359.82 × 2,369.44
  4. Step 4: Simplify right side
    2,431.66x = 7,960,891.90
  5. Step 5: Solve for x
    x = 7,960,891.90/2,431.66
  6. Step 6: Final answer
    x = 3,273.85

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