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Finding the Fourth Proportional to 3,105.52, 4,286.47 and 1,830.52

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Solution

The fourth proportional to 3,105.52, 4,286.47 and 1,830.52 is: 2,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.52 : 4,286.47 = 1,830.52 : x
  2. Step 2: Convert to fraction form
    3,105.52/4,286.47 = 1,830.52/x
  3. Step 3: Cross multiply
    3,105.52x = 4,286.47 × 1,830.52
  4. Step 4: Simplify right side
    3,105.52x = 7,846,469.06
  5. Step 5: Solve for x
    x = 7,846,469.06/3,105.52
  6. Step 6: Final answer
    x = 2,526.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.