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Finding the Fourth Proportional to 2,605.08, 3,892.83 and 2,546.76

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Solution

The fourth proportional to 2,605.08, 3,892.83 and 2,546.76 is: 3,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.08 : 3,892.83 = 2,546.76 : x
  2. Step 2: Convert to fraction form
    2,605.08/3,892.83 = 2,546.76/x
  3. Step 3: Cross multiply
    2,605.08x = 3,892.83 × 2,546.76
  4. Step 4: Simplify right side
    2,605.08x = 9,914,103.73
  5. Step 5: Solve for x
    x = 9,914,103.73/2,605.08
  6. Step 6: Final answer
    x = 3,805.68

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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.