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Finding the Fourth Proportional to 2,090.67, 3,136.02 and 629.73

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Solution

The fourth proportional to 2,090.67, 3,136.02 and 629.73 is: 944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.67 : 3,136.02 = 629.73 : x
  2. Step 2: Convert to fraction form
    2,090.67/3,136.02 = 629.73/x
  3. Step 3: Cross multiply
    2,090.67x = 3,136.02 × 629.73
  4. Step 4: Simplify right side
    2,090.67x = 1,974,845.87
  5. Step 5: Solve for x
    x = 1,974,845.87/2,090.67
  6. Step 6: Final answer
    x = 944.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.