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Finding the Fourth Proportional to 2,091.30, 3,136.07 and 629.66

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Solution

The fourth proportional to 2,091.30, 3,136.07 and 629.66 is: 944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.30 : 3,136.07 = 629.66 : x
  2. Step 2: Convert to fraction form
    2,091.30/3,136.07 = 629.66/x
  3. Step 3: Cross multiply
    2,091.30x = 3,136.07 × 629.66
  4. Step 4: Simplify right side
    2,091.30x = 1,974,639.01
  5. Step 5: Solve for x
    x = 1,974,639.01/2,091.30
  6. Step 6: Final answer
    x = 944.22

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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.