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Finding the Fourth Proportional to 2,327.76, 3,212.82 and 1,432.27

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Solution

The fourth proportional to 2,327.76, 3,212.82 and 1,432.27 is: 1,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.76 : 3,212.82 = 1,432.27 : x
  2. Step 2: Convert to fraction form
    2,327.76/3,212.82 = 1,432.27/x
  3. Step 3: Cross multiply
    2,327.76x = 3,212.82 × 1,432.27
  4. Step 4: Simplify right side
    2,327.76x = 4,601,618.54
  5. Step 5: Solve for x
    x = 4,601,618.54/2,327.76
  6. Step 6: Final answer
    x = 1,976.84

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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.