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Finding the Fourth Proportional to 3,238.92, 4,469.58 and 1,822.64

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Solution

The fourth proportional to 3,238.92, 4,469.58 and 1,822.64 is: 2,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.92 : 4,469.58 = 1,822.64 : x
  2. Step 2: Convert to fraction form
    3,238.92/4,469.58 = 1,822.64/x
  3. Step 3: Cross multiply
    3,238.92x = 4,469.58 × 1,822.64
  4. Step 4: Simplify right side
    3,238.92x = 8,146,435.29
  5. Step 5: Solve for x
    x = 8,146,435.29/3,238.92
  6. Step 6: Final answer
    x = 2,515.17

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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.