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Finding the Fourth Proportional to 3,201.44, 4,418.36 and 1,804.44

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Solution

The fourth proportional to 3,201.44, 4,418.36 and 1,804.44 is: 2,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.44 : 4,418.36 = 1,804.44 : x
  2. Step 2: Convert to fraction form
    3,201.44/4,418.36 = 1,804.44/x
  3. Step 3: Cross multiply
    3,201.44x = 4,418.36 × 1,804.44
  4. Step 4: Simplify right side
    3,201.44x = 7,972,665.52
  5. Step 5: Solve for x
    x = 7,972,665.52/3,201.44
  6. Step 6: Final answer
    x = 2,490.34

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1.5x scale

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.