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Finding the Fourth Proportional to 2,822.59, 4,234.02 and 1,362.97

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Solution

The fourth proportional to 2,822.59, 4,234.02 and 1,362.97 is: 2,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.59 : 4,234.02 = 1,362.97 : x
  2. Step 2: Convert to fraction form
    2,822.59/4,234.02 = 1,362.97/x
  3. Step 3: Cross multiply
    2,822.59x = 4,234.02 × 1,362.97
  4. Step 4: Simplify right side
    2,822.59x = 5,770,842.24
  5. Step 5: Solve for x
    x = 5,770,842.24/2,822.59
  6. Step 6: Final answer
    x = 2,044.52

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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.