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Finding the Fourth Proportional to 2,608.67, 3,892.71 and 2,546.12

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Solution

The fourth proportional to 2,608.67, 3,892.71 and 2,546.12 is: 3,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.67 : 3,892.71 = 2,546.12 : x
  2. Step 2: Convert to fraction form
    2,608.67/3,892.71 = 2,546.12/x
  3. Step 3: Cross multiply
    2,608.67x = 3,892.71 × 2,546.12
  4. Step 4: Simplify right side
    2,608.67x = 9,911,306.79
  5. Step 5: Solve for x
    x = 9,911,306.79/2,608.67
  6. Step 6: Final answer
    x = 3,799.37

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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.