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Finding the Fourth Proportional to 3,288.87, 4,536.54 and 1,961.82

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Solution

The fourth proportional to 3,288.87, 4,536.54 and 1,961.82 is: 2,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.87 : 4,536.54 = 1,961.82 : x
  2. Step 2: Convert to fraction form
    3,288.87/4,536.54 = 1,961.82/x
  3. Step 3: Cross multiply
    3,288.87x = 4,536.54 × 1,961.82
  4. Step 4: Simplify right side
    3,288.87x = 8,899,874.90
  5. Step 5: Solve for x
    x = 8,899,874.90/3,288.87
  6. Step 6: Final answer
    x = 2,706.06

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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.