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Finding the Fourth Proportional to 2,105, 3,157.37 and 644.04

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Solution

The fourth proportional to 2,105, 3,157.37 and 644.04 is: 966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105 : 3,157.37 = 644.04 : x
  2. Step 2: Convert to fraction form
    2,105/3,157.37 = 644.04/x
  3. Step 3: Cross multiply
    2,105x = 3,157.37 × 644.04
  4. Step 4: Simplify right side
    2,105x = 2,033,472.57
  5. Step 5: Solve for x
    x = 2,033,472.57/2,105
  6. Step 6: Final answer
    x = 966.02

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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.