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Finding the Fourth Proportional to 2,843.62, 4,280.52 and 2,027.54

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Solution

The fourth proportional to 2,843.62, 4,280.52 and 2,027.54 is: 3,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.62 : 4,280.52 = 2,027.54 : x
  2. Step 2: Convert to fraction form
    2,843.62/4,280.52 = 2,027.54/x
  3. Step 3: Cross multiply
    2,843.62x = 4,280.52 × 2,027.54
  4. Step 4: Simplify right side
    2,843.62x = 8,678,915.38
  5. Step 5: Solve for x
    x = 8,678,915.38/2,843.62
  6. Step 6: Final answer
    x = 3,052.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.