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Finding the Fourth Proportional to 3,201.89, 4,418.64 and 1,804.64

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Solution

The fourth proportional to 3,201.89, 4,418.64 and 1,804.64 is: 2,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.89 : 4,418.64 = 1,804.64 : x
  2. Step 2: Convert to fraction form
    3,201.89/4,418.64 = 1,804.64/x
  3. Step 3: Cross multiply
    3,201.89x = 4,418.64 × 1,804.64
  4. Step 4: Simplify right side
    3,201.89x = 7,974,062.33
  5. Step 5: Solve for x
    x = 7,974,062.33/3,201.89
  6. Step 6: Final answer
    x = 2,490.42

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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.