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Finding the Fourth Proportional to 3,220.44, 4,443.84 and 1,804.02

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Solution

The fourth proportional to 3,220.44, 4,443.84 and 1,804.02 is: 2,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.44 : 4,443.84 = 1,804.02 : x
  2. Step 2: Convert to fraction form
    3,220.44/4,443.84 = 1,804.02/x
  3. Step 3: Cross multiply
    3,220.44x = 4,443.84 × 1,804.02
  4. Step 4: Simplify right side
    3,220.44x = 8,016,776.24
  5. Step 5: Solve for x
    x = 8,016,776.24/3,220.44
  6. Step 6: Final answer
    x = 2,489.34

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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.