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Finding the Fourth Proportional to 2,906.31, 4,011.21 and 1,727.76

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Solution

The fourth proportional to 2,906.31, 4,011.21 and 1,727.76 is: 2,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.31 : 4,011.21 = 1,727.76 : x
  2. Step 2: Convert to fraction form
    2,906.31/4,011.21 = 1,727.76/x
  3. Step 3: Cross multiply
    2,906.31x = 4,011.21 × 1,727.76
  4. Step 4: Simplify right side
    2,906.31x = 6,930,408.19
  5. Step 5: Solve for x
    x = 6,930,408.19/2,906.31
  6. Step 6: Final answer
    x = 2,384.61

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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.