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Finding the Fourth Proportional to 3,481.41, 4,804.60 and 1,989.30

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Solution

The fourth proportional to 3,481.41, 4,804.60 and 1,989.30 is: 2,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.41 : 4,804.60 = 1,989.30 : x
  2. Step 2: Convert to fraction form
    3,481.41/4,804.60 = 1,989.30/x
  3. Step 3: Cross multiply
    3,481.41x = 4,804.60 × 1,989.30
  4. Step 4: Simplify right side
    3,481.41x = 9,557,783.74
  5. Step 5: Solve for x
    x = 9,557,783.74/3,481.41
  6. Step 6: Final answer
    x = 2,745.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.