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Finding the Fourth Proportional to 2,578.12, 3,866.46 and 823.12

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Solution

The fourth proportional to 2,578.12, 3,866.46 and 823.12 is: 1,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.12 : 3,866.46 = 823.12 : x
  2. Step 2: Convert to fraction form
    2,578.12/3,866.46 = 823.12/x
  3. Step 3: Cross multiply
    2,578.12x = 3,866.46 × 823.12
  4. Step 4: Simplify right side
    2,578.12x = 3,182,560.56
  5. Step 5: Solve for x
    x = 3,182,560.56/2,578.12
  6. Step 6: Final answer
    x = 1,234.45

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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.