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Finding the Fourth Proportional to 2,520.94, 3,778.65 and 2,154.61

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Solution

The fourth proportional to 2,520.94, 3,778.65 and 2,154.61 is: 3,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.94 : 3,778.65 = 2,154.61 : x
  2. Step 2: Convert to fraction form
    2,520.94/3,778.65 = 2,154.61/x
  3. Step 3: Cross multiply
    2,520.94x = 3,778.65 × 2,154.61
  4. Step 4: Simplify right side
    2,520.94x = 8,141,517.08
  5. Step 5: Solve for x
    x = 8,141,517.08/2,520.94
  6. Step 6: Final answer
    x = 3,229.56

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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.