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Finding the Fourth Proportional to 2,792.68, 3,849.06 and 2,092.84

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Solution

The fourth proportional to 2,792.68, 3,849.06 and 2,092.84 is: 2,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.68 : 3,849.06 = 2,092.84 : x
  2. Step 2: Convert to fraction form
    2,792.68/3,849.06 = 2,092.84/x
  3. Step 3: Cross multiply
    2,792.68x = 3,849.06 × 2,092.84
  4. Step 4: Simplify right side
    2,792.68x = 8,055,466.73
  5. Step 5: Solve for x
    x = 8,055,466.73/2,792.68
  6. Step 6: Final answer
    x = 2,884.49

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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.