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Finding the Fourth Proportional to 2,906.82, 4,009.77 and 1,728.27

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Solution

The fourth proportional to 2,906.82, 4,009.77 and 1,728.27 is: 2,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.82 : 4,009.77 = 1,728.27 : x
  2. Step 2: Convert to fraction form
    2,906.82/4,009.77 = 1,728.27/x
  3. Step 3: Cross multiply
    2,906.82x = 4,009.77 × 1,728.27
  4. Step 4: Simplify right side
    2,906.82x = 6,929,965.20
  5. Step 5: Solve for x
    x = 6,929,965.20/2,906.82
  6. Step 6: Final answer
    x = 2,384.04

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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.