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Finding the Fourth Proportional to 2,868.30, 3,960.16 and 2,203.97

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Solution

The fourth proportional to 2,868.30, 3,960.16 and 2,203.97 is: 3,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.30 : 3,960.16 = 2,203.97 : x
  2. Step 2: Convert to fraction form
    2,868.30/3,960.16 = 2,203.97/x
  3. Step 3: Cross multiply
    2,868.30x = 3,960.16 × 2,203.97
  4. Step 4: Simplify right side
    2,868.30x = 8,728,048.52
  5. Step 5: Solve for x
    x = 8,728,048.52/2,868.30
  6. Step 6: Final answer
    x = 3,042.93

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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.