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Finding the Fourth Proportional to 3,025.44, 4,537.53 and 834.39

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Solution

The fourth proportional to 3,025.44, 4,537.53 and 834.39 is: 1,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.44 : 4,537.53 = 834.39 : x
  2. Step 2: Convert to fraction form
    3,025.44/4,537.53 = 834.39/x
  3. Step 3: Cross multiply
    3,025.44x = 4,537.53 × 834.39
  4. Step 4: Simplify right side
    3,025.44x = 3,786,069.66
  5. Step 5: Solve for x
    x = 3,786,069.66/3,025.44
  6. Step 6: Final answer
    x = 1,251.41

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