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Finding the Fourth Proportional to 2,822.77, 4,231.17 and 1,358.83

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Solution

The fourth proportional to 2,822.77, 4,231.17 and 1,358.83 is: 2,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.77 : 4,231.17 = 1,358.83 : x
  2. Step 2: Convert to fraction form
    2,822.77/4,231.17 = 1,358.83/x
  3. Step 3: Cross multiply
    2,822.77x = 4,231.17 × 1,358.83
  4. Step 4: Simplify right side
    2,822.77x = 5,749,440.73
  5. Step 5: Solve for x
    x = 5,749,440.73/2,822.77
  6. Step 6: Final answer
    x = 2,036.81

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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.