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Finding the Fourth Proportional to 2,091.04, 3,136.10 and 629.80

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Solution

The fourth proportional to 2,091.04, 3,136.10 and 629.80 is: 944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.04 : 3,136.10 = 629.80 : x
  2. Step 2: Convert to fraction form
    2,091.04/3,136.10 = 629.80/x
  3. Step 3: Cross multiply
    2,091.04x = 3,136.10 × 629.80
  4. Step 4: Simplify right side
    2,091.04x = 1,975,115.78
  5. Step 5: Solve for x
    x = 1,975,115.78/2,091.04
  6. Step 6: Final answer
    x = 944.56

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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.