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Finding the Fourth Proportional to 2,578.48, 3,863.94 and 1,601.62

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Solution

The fourth proportional to 2,578.48, 3,863.94 and 1,601.62 is: 2,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.48 : 3,863.94 = 1,601.62 : x
  2. Step 2: Convert to fraction form
    2,578.48/3,863.94 = 1,601.62/x
  3. Step 3: Cross multiply
    2,578.48x = 3,863.94 × 1,601.62
  4. Step 4: Simplify right side
    2,578.48x = 6,188,563.58
  5. Step 5: Solve for x
    x = 6,188,563.58/2,578.48
  6. Step 6: Final answer
    x = 2,400.08

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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.