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Finding the Fourth Proportional to 1,644.57, 2,450.36 and 1,600.49

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Solution

The fourth proportional to 1,644.57, 2,450.36 and 1,600.49 is: 2,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.57 : 2,450.36 = 1,600.49 : x
  2. Step 2: Convert to fraction form
    1,644.57/2,450.36 = 1,600.49/x
  3. Step 3: Cross multiply
    1,644.57x = 2,450.36 × 1,600.49
  4. Step 4: Simplify right side
    1,644.57x = 3,921,786.80
  5. Step 5: Solve for x
    x = 3,921,786.80/1,644.57
  6. Step 6: Final answer
    x = 2,384.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.