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Finding the Fourth Proportional to 3,025.67, 4,538.46 and 834.35

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Solution

The fourth proportional to 3,025.67, 4,538.46 and 834.35 is: 1,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.67 : 4,538.46 = 834.35 : x
  2. Step 2: Convert to fraction form
    3,025.67/4,538.46 = 834.35/x
  3. Step 3: Cross multiply
    3,025.67x = 4,538.46 × 834.35
  4. Step 4: Simplify right side
    3,025.67x = 3,786,664.10
  5. Step 5: Solve for x
    x = 3,786,664.10/3,025.67
  6. Step 6: Final answer
    x = 1,251.51

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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.