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Finding the Fourth Proportional to 2,578.52, 3,861.30 and 1,847.72

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Solution

The fourth proportional to 2,578.52, 3,861.30 and 1,847.72 is: 2,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.52 : 3,861.30 = 1,847.72 : x
  2. Step 2: Convert to fraction form
    2,578.52/3,861.30 = 1,847.72/x
  3. Step 3: Cross multiply
    2,578.52x = 3,861.30 × 1,847.72
  4. Step 4: Simplify right side
    2,578.52x = 7,134,601.24
  5. Step 5: Solve for x
    x = 7,134,601.24/2,578.52
  6. Step 6: Final answer
    x = 2,766.94

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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.