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Finding the Fourth Proportional to 3,025.43, 4,537.60 and 834.32

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Solution

The fourth proportional to 3,025.43, 4,537.60 and 834.32 is: 1,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.43 : 4,537.60 = 834.32 : x
  2. Step 2: Convert to fraction form
    3,025.43/4,537.60 = 834.32/x
  3. Step 3: Cross multiply
    3,025.43x = 4,537.60 × 834.32
  4. Step 4: Simplify right side
    3,025.43x = 3,785,806.26
  5. Step 5: Solve for x
    x = 3,785,806.26/3,025.43
  6. Step 6: Final answer
    x = 1,251.33

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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.