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Finding the Fourth Proportional to 2,334.69, 3,221.91 and 1,286.69

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Solution

The fourth proportional to 2,334.69, 3,221.91 and 1,286.69 is: 1,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.69 : 3,221.91 = 1,286.69 : x
  2. Step 2: Convert to fraction form
    2,334.69/3,221.91 = 1,286.69/x
  3. Step 3: Cross multiply
    2,334.69x = 3,221.91 × 1,286.69
  4. Step 4: Simplify right side
    2,334.69x = 4,145,583.27
  5. Step 5: Solve for x
    x = 4,145,583.27/2,334.69
  6. Step 6: Final answer
    x = 1,775.65

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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.