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Finding the Fourth Proportional to 2,789.29, 4,180.00 and 2,201.70

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Solution

The fourth proportional to 2,789.29, 4,180.00 and 2,201.70 is: 3,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.29 : 4,180.00 = 2,201.70 : x
  2. Step 2: Convert to fraction form
    2,789.29/4,180.00 = 2,201.70/x
  3. Step 3: Cross multiply
    2,789.29x = 4,180.00 × 2,201.70
  4. Step 4: Simplify right side
    2,789.29x = 9,203,104.06
  5. Step 5: Solve for x
    x = 9,203,104.06/2,789.29
  6. Step 6: Final answer
    x = 3,299.45

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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.