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Finding the Fourth Proportional to 2,324.28, 3,203.82 and 2,278.20

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Solution

The fourth proportional to 2,324.28, 3,203.82 and 2,278.20 is: 3,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.28 : 3,203.82 = 2,278.20 : x
  2. Step 2: Convert to fraction form
    2,324.28/3,203.82 = 2,278.20/x
  3. Step 3: Cross multiply
    2,324.28x = 3,203.82 × 2,278.20
  4. Step 4: Simplify right side
    2,324.28x = 7,298,942.72
  5. Step 5: Solve for x
    x = 7,298,942.72/2,324.28
  6. Step 6: Final answer
    x = 3,140.30

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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.