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Finding the Fourth Proportional to 2,270.97, 3,142.80 and 2,216.34

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Solution

The fourth proportional to 2,270.97, 3,142.80 and 2,216.34 is: 3,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.97 : 3,142.80 = 2,216.34 : x
  2. Step 2: Convert to fraction form
    2,270.97/3,142.80 = 2,216.34/x
  3. Step 3: Cross multiply
    2,270.97x = 3,142.80 × 2,216.34
  4. Step 4: Simplify right side
    2,270.97x = 6,965,513.35
  5. Step 5: Solve for x
    x = 6,965,513.35/2,270.97
  6. Step 6: Final answer
    x = 3,067.20

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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.