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Finding the Fourth Proportional to 2,578.53, 3,871.74 and 2,272.96

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Solution

The fourth proportional to 2,578.53, 3,871.74 and 2,272.96 is: 3,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.53 : 3,871.74 = 2,272.96 : x
  2. Step 2: Convert to fraction form
    2,578.53/3,871.74 = 2,272.96/x
  3. Step 3: Cross multiply
    2,578.53x = 3,871.74 × 2,272.96
  4. Step 4: Simplify right side
    2,578.53x = 8,800,290.79
  5. Step 5: Solve for x
    x = 8,800,290.79/2,578.53
  6. Step 6: Final answer
    x = 3,412.91

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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.