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Finding the Fourth Proportional to 2,683.41, 4,025.25 and 834.50

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Solution

The fourth proportional to 2,683.41, 4,025.25 and 834.50 is: 1,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.41 : 4,025.25 = 834.50 : x
  2. Step 2: Convert to fraction form
    2,683.41/4,025.25 = 834.50/x
  3. Step 3: Cross multiply
    2,683.41x = 4,025.25 × 834.50
  4. Step 4: Simplify right side
    2,683.41x = 3,359,051.00
  5. Step 5: Solve for x
    x = 3,359,051.00/2,683.41
  6. Step 6: Final answer
    x = 1,251.78

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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.