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Finding the Fourth Proportional to 3,238.70, 4,469.31 and 1,822.55

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Solution

The fourth proportional to 3,238.70, 4,469.31 and 1,822.55 is: 2,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.70 : 4,469.31 = 1,822.55 : x
  2. Step 2: Convert to fraction form
    3,238.70/4,469.31 = 1,822.55/x
  3. Step 3: Cross multiply
    3,238.70x = 4,469.31 × 1,822.55
  4. Step 4: Simplify right side
    3,238.70x = 8,145,518.59
  5. Step 5: Solve for x
    x = 8,145,518.59/3,238.70
  6. Step 6: Final answer
    x = 2,515.06

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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.