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Finding the Fourth Proportional to 3,025.37, 4,537.98 and 834.05

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Solution

The fourth proportional to 3,025.37, 4,537.98 and 834.05 is: 1,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.37 : 4,537.98 = 834.05 : x
  2. Step 2: Convert to fraction form
    3,025.37/4,537.98 = 834.05/x
  3. Step 3: Cross multiply
    3,025.37x = 4,537.98 × 834.05
  4. Step 4: Simplify right side
    3,025.37x = 3,784,879.53
  5. Step 5: Solve for x
    x = 3,784,879.53/3,025.37
  6. Step 6: Final answer
    x = 1,251.05

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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.