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Finding the Fourth Proportional to 3,321.67, 4,584.26 and 1,905.43

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Solution

The fourth proportional to 3,321.67, 4,584.26 and 1,905.43 is: 2,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.67 : 4,584.26 = 1,905.43 : x
  2. Step 2: Convert to fraction form
    3,321.67/4,584.26 = 1,905.43/x
  3. Step 3: Cross multiply
    3,321.67x = 4,584.26 × 1,905.43
  4. Step 4: Simplify right side
    3,321.67x = 8,734,986.53
  5. Step 5: Solve for x
    x = 8,734,986.53/3,321.67
  6. Step 6: Final answer
    x = 2,629.70

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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.