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Finding the Fourth Proportional to 3,201.56, 4,418.16 and 1,804.31

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Solution

The fourth proportional to 3,201.56, 4,418.16 and 1,804.31 is: 2,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.56 : 4,418.16 = 1,804.31 : x
  2. Step 2: Convert to fraction form
    3,201.56/4,418.16 = 1,804.31/x
  3. Step 3: Cross multiply
    3,201.56x = 4,418.16 × 1,804.31
  4. Step 4: Simplify right side
    3,201.56x = 7,971,734.55
  5. Step 5: Solve for x
    x = 7,971,734.55/3,201.56
  6. Step 6: Final answer
    x = 2,489.95

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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.