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Finding the Fourth Proportional to 2,872.80, 3,962.58 and 2,033.54

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Solution

The fourth proportional to 2,872.80, 3,962.58 and 2,033.54 is: 2,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.80 : 3,962.58 = 2,033.54 : x
  2. Step 2: Convert to fraction form
    2,872.80/3,962.58 = 2,033.54/x
  3. Step 3: Cross multiply
    2,872.80x = 3,962.58 × 2,033.54
  4. Step 4: Simplify right side
    2,872.80x = 8,058,064.93
  5. Step 5: Solve for x
    x = 8,058,064.93/2,872.80
  6. Step 6: Final answer
    x = 2,804.95

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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.