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Finding the Fourth Proportional to 2,772.69, 3,826.37 and 1,593.82

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Solution

The fourth proportional to 2,772.69, 3,826.37 and 1,593.82 is: 2,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.69 : 3,826.37 = 1,593.82 : x
  2. Step 2: Convert to fraction form
    2,772.69/3,826.37 = 1,593.82/x
  3. Step 3: Cross multiply
    2,772.69x = 3,826.37 × 1,593.82
  4. Step 4: Simplify right side
    2,772.69x = 6,098,545.03
  5. Step 5: Solve for x
    x = 6,098,545.03/2,772.69
  6. Step 6: Final answer
    x = 2,199.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.