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Finding the Fourth Proportional to 2,361.07, 3,541.61 and 629.69

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Solution

The fourth proportional to 2,361.07, 3,541.61 and 629.69 is: 944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.07 : 3,541.61 = 629.69 : x
  2. Step 2: Convert to fraction form
    2,361.07/3,541.61 = 629.69/x
  3. Step 3: Cross multiply
    2,361.07x = 3,541.61 × 629.69
  4. Step 4: Simplify right side
    2,361.07x = 2,230,113.25
  5. Step 5: Solve for x
    x = 2,230,113.25/2,361.07
  6. Step 6: Final answer
    x = 944.54

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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.