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Finding the Fourth Proportional to 2,588.38, 3,882.63 and 857

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Solution

The fourth proportional to 2,588.38, 3,882.63 and 857 is: 1,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.38 : 3,882.63 = 857 : x
  2. Step 2: Convert to fraction form
    2,588.38/3,882.63 = 857/x
  3. Step 3: Cross multiply
    2,588.38x = 3,882.63 × 857
  4. Step 4: Simplify right side
    2,588.38x = 3,327,413.91
  5. Step 5: Solve for x
    x = 3,327,413.91/2,588.38
  6. Step 6: Final answer
    x = 1,285.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.