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Finding the Fourth Proportional to 2,867.69, 3,958.73 and 2,204.30

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Solution

The fourth proportional to 2,867.69, 3,958.73 and 2,204.30 is: 3,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.69 : 3,958.73 = 2,204.30 : x
  2. Step 2: Convert to fraction form
    2,867.69/3,958.73 = 2,204.30/x
  3. Step 3: Cross multiply
    2,867.69x = 3,958.73 × 2,204.30
  4. Step 4: Simplify right side
    2,867.69x = 8,726,197.72
  5. Step 5: Solve for x
    x = 8,726,197.72/2,867.69
  6. Step 6: Final answer
    x = 3,042.94

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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.