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Finding the Fourth Proportional to 2,578.20, 3,873.06 and 2,481

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Solution

The fourth proportional to 2,578.20, 3,873.06 and 2,481 is: 3,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.20 : 3,873.06 = 2,481 : x
  2. Step 2: Convert to fraction form
    2,578.20/3,873.06 = 2,481/x
  3. Step 3: Cross multiply
    2,578.20x = 3,873.06 × 2,481
  4. Step 4: Simplify right side
    2,578.20x = 9,609,061.86
  5. Step 5: Solve for x
    x = 9,609,061.86/2,578.20
  6. Step 6: Final answer
    x = 3,727.04

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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.