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Finding the Fourth Proportional to 3,377, 4,660.24 and 1,884.82

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Solution

The fourth proportional to 3,377, 4,660.24 and 1,884.82 is: 2,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377 : 4,660.24 = 1,884.82 : x
  2. Step 2: Convert to fraction form
    3,377/4,660.24 = 1,884.82/x
  3. Step 3: Cross multiply
    3,377x = 4,660.24 × 1,884.82
  4. Step 4: Simplify right side
    3,377x = 8,783,713.56
  5. Step 5: Solve for x
    x = 8,783,713.56/3,377
  6. Step 6: Final answer
    x = 2,601.04

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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.