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Finding the Fourth Proportional to 3,481.44, 4,804.80 and 2,084.16

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Solution

The fourth proportional to 3,481.44, 4,804.80 and 2,084.16 is: 2,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.44 : 4,804.80 = 2,084.16 : x
  2. Step 2: Convert to fraction form
    3,481.44/4,804.80 = 2,084.16/x
  3. Step 3: Cross multiply
    3,481.44x = 4,804.80 × 2,084.16
  4. Step 4: Simplify right side
    3,481.44x = 10,013,971.97
  5. Step 5: Solve for x
    x = 10,013,971.97/3,481.44
  6. Step 6: Final answer
    x = 2,876.39

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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.