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Finding the Fourth Proportional to 2,578.43, 3,864.92 and 2,212.11

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Solution

The fourth proportional to 2,578.43, 3,864.92 and 2,212.11 is: 3,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.43 : 3,864.92 = 2,212.11 : x
  2. Step 2: Convert to fraction form
    2,578.43/3,864.92 = 2,212.11/x
  3. Step 3: Cross multiply
    2,578.43x = 3,864.92 × 2,212.11
  4. Step 4: Simplify right side
    2,578.43x = 8,549,617.12
  5. Step 5: Solve for x
    x = 8,549,617.12/2,578.43
  6. Step 6: Final answer
    x = 3,315.82

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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.