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Finding the Fourth Proportional to 2,683.71, 4,025.77 and 834.68

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Solution

The fourth proportional to 2,683.71, 4,025.77 and 834.68 is: 1,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.71 : 4,025.77 = 834.68 : x
  2. Step 2: Convert to fraction form
    2,683.71/4,025.77 = 834.68/x
  3. Step 3: Cross multiply
    2,683.71x = 4,025.77 × 834.68
  4. Step 4: Simplify right side
    2,683.71x = 3,360,237.68
  5. Step 5: Solve for x
    x = 3,360,237.68/2,683.71
  6. Step 6: Final answer
    x = 1,252.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.