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Finding the Fourth Proportional to 2,334.76, 3,221.96 and 1,286.80

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Solution

The fourth proportional to 2,334.76, 3,221.96 and 1,286.80 is: 1,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.76 : 3,221.96 = 1,286.80 : x
  2. Step 2: Convert to fraction form
    2,334.76/3,221.96 = 1,286.80/x
  3. Step 3: Cross multiply
    2,334.76x = 3,221.96 × 1,286.80
  4. Step 4: Simplify right side
    2,334.76x = 4,146,018.13
  5. Step 5: Solve for x
    x = 4,146,018.13/2,334.76
  6. Step 6: Final answer
    x = 1,775.78

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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.