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Finding the Fourth Proportional to 7,190.82, 10,787.29 and 2,258.82

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Solution

The fourth proportional to 7,190.82, 10,787.29 and 2,258.82 is: 3,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.82 : 10,787.29 = 2,258.82 : x
  2. Step 2: Convert to fraction form
    7,190.82/10,787.29 = 2,258.82/x
  3. Step 3: Cross multiply
    7,190.82x = 10,787.29 × 2,258.82
  4. Step 4: Simplify right side
    7,190.82x = 24,366,540.75
  5. Step 5: Solve for x
    x = 24,366,540.75/7,190.82
  6. Step 6: Final answer
    x = 3,388.56

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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.