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Finding the Fourth Proportional to 2,361.14, 3,541.67 and 629.86

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Solution

The fourth proportional to 2,361.14, 3,541.67 and 629.86 is: 944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.14 : 3,541.67 = 629.86 : x
  2. Step 2: Convert to fraction form
    2,361.14/3,541.67 = 629.86/x
  3. Step 3: Cross multiply
    2,361.14x = 3,541.67 × 629.86
  4. Step 4: Simplify right side
    2,361.14x = 2,230,756.27
  5. Step 5: Solve for x
    x = 2,230,756.27/2,361.14
  6. Step 6: Final answer
    x = 944.78

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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.