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Finding the Fourth Proportional to 4,240.89, 6,361.74 and 1,644.03

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Solution

The fourth proportional to 4,240.89, 6,361.74 and 1,644.03 is: 2,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.89 : 6,361.74 = 1,644.03 : x
  2. Step 2: Convert to fraction form
    4,240.89/6,361.74 = 1,644.03/x
  3. Step 3: Cross multiply
    4,240.89x = 6,361.74 × 1,644.03
  4. Step 4: Simplify right side
    4,240.89x = 10,458,891.41
  5. Step 5: Solve for x
    x = 10,458,891.41/4,240.89
  6. Step 6: Final answer
    x = 2,466.20

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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.