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Finding the Fourth Proportional to 2,871.36, 3,963.60 and 2,033.28

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Solution

The fourth proportional to 2,871.36, 3,963.60 and 2,033.28 is: 2,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.36 : 3,963.60 = 2,033.28 : x
  2. Step 2: Convert to fraction form
    2,871.36/3,963.60 = 2,033.28/x
  3. Step 3: Cross multiply
    2,871.36x = 3,963.60 × 2,033.28
  4. Step 4: Simplify right side
    2,871.36x = 8,059,108.61
  5. Step 5: Solve for x
    x = 8,059,108.61/2,871.36
  6. Step 6: Final answer
    x = 2,806.72

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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.