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Finding the Fourth Proportional to 3,220.48, 4,443.72 and 1,804.08

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Solution

The fourth proportional to 3,220.48, 4,443.72 and 1,804.08 is: 2,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.48 : 4,443.72 = 1,804.08 : x
  2. Step 2: Convert to fraction form
    3,220.48/4,443.72 = 1,804.08/x
  3. Step 3: Cross multiply
    3,220.48x = 4,443.72 × 1,804.08
  4. Step 4: Simplify right side
    3,220.48x = 8,016,826.38
  5. Step 5: Solve for x
    x = 8,016,826.38/3,220.48
  6. Step 6: Final answer
    x = 2,489.33

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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.