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Finding the Fourth Proportional to 3,205.66, 4,423.52 and 1,789.24

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Solution

The fourth proportional to 3,205.66, 4,423.52 and 1,789.24 is: 2,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.66 : 4,423.52 = 1,789.24 : x
  2. Step 2: Convert to fraction form
    3,205.66/4,423.52 = 1,789.24/x
  3. Step 3: Cross multiply
    3,205.66x = 4,423.52 × 1,789.24
  4. Step 4: Simplify right side
    3,205.66x = 7,914,738.92
  5. Step 5: Solve for x
    x = 7,914,738.92/3,205.66
  6. Step 6: Final answer
    x = 2,468.99

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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.