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Finding the Fourth Proportional to 3,201.56, 4,806.81 and 1,642.66

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Solution

The fourth proportional to 3,201.56, 4,806.81 and 1,642.66 is: 2,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.56 : 4,806.81 = 1,642.66 : x
  2. Step 2: Convert to fraction form
    3,201.56/4,806.81 = 1,642.66/x
  3. Step 3: Cross multiply
    3,201.56x = 4,806.81 × 1,642.66
  4. Step 4: Simplify right side
    3,201.56x = 7,895,930.48
  5. Step 5: Solve for x
    x = 7,895,930.48/3,201.56
  6. Step 6: Final answer
    x = 2,466.28

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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.