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Finding the Fourth Proportional to 1,683.92, 2,523.83 and 758.57

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Solution

The fourth proportional to 1,683.92, 2,523.83 and 758.57 is: 1,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.92 : 2,523.83 = 758.57 : x
  2. Step 2: Convert to fraction form
    1,683.92/2,523.83 = 758.57/x
  3. Step 3: Cross multiply
    1,683.92x = 2,523.83 × 758.57
  4. Step 4: Simplify right side
    1,683.92x = 1,914,485.31
  5. Step 5: Solve for x
    x = 1,914,485.31/1,683.92
  6. Step 6: Final answer
    x = 1,136.92

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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.