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Finding the Fourth Proportional to 3,205.63, 4,423.33 and 1,789.15

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Solution

The fourth proportional to 3,205.63, 4,423.33 and 1,789.15 is: 2,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.63 : 4,423.33 = 1,789.15 : x
  2. Step 2: Convert to fraction form
    3,205.63/4,423.33 = 1,789.15/x
  3. Step 3: Cross multiply
    3,205.63x = 4,423.33 × 1,789.15
  4. Step 4: Simplify right side
    3,205.63x = 7,914,000.87
  5. Step 5: Solve for x
    x = 7,914,000.87/3,205.63
  6. Step 6: Final answer
    x = 2,468.78

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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.