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Finding the Fourth Proportional to 2,090.72, 3,136.60 and 629.84

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Solution

The fourth proportional to 2,090.72, 3,136.60 and 629.84 is: 944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.72 : 3,136.60 = 629.84 : x
  2. Step 2: Convert to fraction form
    2,090.72/3,136.60 = 629.84/x
  3. Step 3: Cross multiply
    2,090.72x = 3,136.60 × 629.84
  4. Step 4: Simplify right side
    2,090.72x = 1,975,556.14
  5. Step 5: Solve for x
    x = 1,975,556.14/2,090.72
  6. Step 6: Final answer
    x = 944.92

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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.