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Finding the Fourth Proportional to 3,224.33, 4,834.06 and 1,663.66

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Solution

The fourth proportional to 3,224.33, 4,834.06 and 1,663.66 is: 2,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.33 : 4,834.06 = 1,663.66 : x
  2. Step 2: Convert to fraction form
    3,224.33/4,834.06 = 1,663.66/x
  3. Step 3: Cross multiply
    3,224.33x = 4,834.06 × 1,663.66
  4. Step 4: Simplify right side
    3,224.33x = 8,042,199.77
  5. Step 5: Solve for x
    x = 8,042,199.77/3,224.33
  6. Step 6: Final answer
    x = 2,494.23

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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.