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Finding the Fourth Proportional to 3,025.92, 4,538.97 and 834.66

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Solution

The fourth proportional to 3,025.92, 4,538.97 and 834.66 is: 1,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.92 : 4,538.97 = 834.66 : x
  2. Step 2: Convert to fraction form
    3,025.92/4,538.97 = 834.66/x
  3. Step 3: Cross multiply
    3,025.92x = 4,538.97 × 834.66
  4. Step 4: Simplify right side
    3,025.92x = 3,788,496.70
  5. Step 5: Solve for x
    x = 3,788,496.70/3,025.92
  6. Step 6: Final answer
    x = 1,252.01

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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.