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Finding the Fourth Proportional to 2,887.73, 4,331.43 and 807.75

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Solution

The fourth proportional to 2,887.73, 4,331.43 and 807.75 is: 1,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.73 : 4,331.43 = 807.75 : x
  2. Step 2: Convert to fraction form
    2,887.73/4,331.43 = 807.75/x
  3. Step 3: Cross multiply
    2,887.73x = 4,331.43 × 807.75
  4. Step 4: Simplify right side
    2,887.73x = 3,498,712.58
  5. Step 5: Solve for x
    x = 3,498,712.58/2,887.73
  6. Step 6: Final answer
    x = 1,211.58

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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.