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Finding the Fourth Proportional to 2,906.30, 4,011.03 and 1,727.37

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Solution

The fourth proportional to 2,906.30, 4,011.03 and 1,727.37 is: 2,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.30 : 4,011.03 = 1,727.37 : x
  2. Step 2: Convert to fraction form
    2,906.30/4,011.03 = 1,727.37/x
  3. Step 3: Cross multiply
    2,906.30x = 4,011.03 × 1,727.37
  4. Step 4: Simplify right side
    2,906.30x = 6,928,532.89
  5. Step 5: Solve for x
    x = 6,928,532.89/2,906.30
  6. Step 6: Final answer
    x = 2,383.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.