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Finding the Fourth Proportional to 2,683.69, 4,025.91 and 834.94

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Solution

The fourth proportional to 2,683.69, 4,025.91 and 834.94 is: 1,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.69 : 4,025.91 = 834.94 : x
  2. Step 2: Convert to fraction form
    2,683.69/4,025.91 = 834.94/x
  3. Step 3: Cross multiply
    2,683.69x = 4,025.91 × 834.94
  4. Step 4: Simplify right side
    2,683.69x = 3,361,393.30
  5. Step 5: Solve for x
    x = 3,361,393.30/2,683.69
  6. Step 6: Final answer
    x = 1,252.53

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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.