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Finding the Fourth Proportional to 2,906.73, 4,010.85 and 1,727.78

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Solution

The fourth proportional to 2,906.73, 4,010.85 and 1,727.78 is: 2,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.73 : 4,010.85 = 1,727.78 : x
  2. Step 2: Convert to fraction form
    2,906.73/4,010.85 = 1,727.78/x
  3. Step 3: Cross multiply
    2,906.73x = 4,010.85 × 1,727.78
  4. Step 4: Simplify right side
    2,906.73x = 6,929,866.41
  5. Step 5: Solve for x
    x = 6,929,866.41/2,906.73
  6. Step 6: Final answer
    x = 2,384.08

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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.