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Finding the Fourth Proportional to 3,201.64, 4,805.88 and 1,817.68

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Solution

The fourth proportional to 3,201.64, 4,805.88 and 1,817.68 is: 2,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.64 : 4,805.88 = 1,817.68 : x
  2. Step 2: Convert to fraction form
    3,201.64/4,805.88 = 1,817.68/x
  3. Step 3: Cross multiply
    3,201.64x = 4,805.88 × 1,817.68
  4. Step 4: Simplify right side
    3,201.64x = 8,735,551.96
  5. Step 5: Solve for x
    x = 8,735,551.96/3,201.64
  6. Step 6: Final answer
    x = 2,728.46

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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.