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Finding the Fourth Proportional to 2,644.46, 3,962.22 and 1,601.31

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Solution

The fourth proportional to 2,644.46, 3,962.22 and 1,601.31 is: 2,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.46 : 3,962.22 = 1,601.31 : x
  2. Step 2: Convert to fraction form
    2,644.46/3,962.22 = 1,601.31/x
  3. Step 3: Cross multiply
    2,644.46x = 3,962.22 × 1,601.31
  4. Step 4: Simplify right side
    2,644.46x = 6,344,714.69
  5. Step 5: Solve for x
    x = 6,344,714.69/2,644.46
  6. Step 6: Final answer
    x = 2,399.25

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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.