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Finding the Fourth Proportional to 2,578.95, 3,863.16 and 1,846.71

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Solution

The fourth proportional to 2,578.95, 3,863.16 and 1,846.71 is: 2,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.95 : 3,863.16 = 1,846.71 : x
  2. Step 2: Convert to fraction form
    2,578.95/3,863.16 = 1,846.71/x
  3. Step 3: Cross multiply
    2,578.95x = 3,863.16 × 1,846.71
  4. Step 4: Simplify right side
    2,578.95x = 7,134,136.20
  5. Step 5: Solve for x
    x = 7,134,136.20/2,578.95
  6. Step 6: Final answer
    x = 2,766.29

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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.