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Finding the Fourth Proportional to 2,671.18, 3,680.24 and 1,961.62

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Solution

The fourth proportional to 2,671.18, 3,680.24 and 1,961.62 is: 2,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.18 : 3,680.24 = 1,961.62 : x
  2. Step 2: Convert to fraction form
    2,671.18/3,680.24 = 1,961.62/x
  3. Step 3: Cross multiply
    2,671.18x = 3,680.24 × 1,961.62
  4. Step 4: Simplify right side
    2,671.18x = 7,219,213.38
  5. Step 5: Solve for x
    x = 7,219,213.38/2,671.18
  6. Step 6: Final answer
    x = 2,702.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.