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Finding the Fourth Proportional to 2,906.08, 4,359.24 and 1,366

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Solution

The fourth proportional to 2,906.08, 4,359.24 and 1,366 is: 2,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.08 : 4,359.24 = 1,366 : x
  2. Step 2: Convert to fraction form
    2,906.08/4,359.24 = 1,366/x
  3. Step 3: Cross multiply
    2,906.08x = 4,359.24 × 1,366
  4. Step 4: Simplify right side
    2,906.08x = 5,954,721.84
  5. Step 5: Solve for x
    x = 5,954,721.84/2,906.08
  6. Step 6: Final answer
    x = 2,049.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.