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Finding the Fourth Proportional to 2,361.27, 3,541.82 and 629.88

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Solution

The fourth proportional to 2,361.27, 3,541.82 and 629.88 is: 944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.27 : 3,541.82 = 629.88 : x
  2. Step 2: Convert to fraction form
    2,361.27/3,541.82 = 629.88/x
  3. Step 3: Cross multiply
    2,361.27x = 3,541.82 × 629.88
  4. Step 4: Simplify right side
    2,361.27x = 2,230,918.43
  5. Step 5: Solve for x
    x = 2,230,918.43/2,361.27
  6. Step 6: Final answer
    x = 944.80

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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.