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Finding the Fourth Proportional to 3,296.39, 4,548.82 and 1,804.01

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Solution

The fourth proportional to 3,296.39, 4,548.82 and 1,804.01 is: 2,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.39 : 4,548.82 = 1,804.01 : x
  2. Step 2: Convert to fraction form
    3,296.39/4,548.82 = 1,804.01/x
  3. Step 3: Cross multiply
    3,296.39x = 4,548.82 × 1,804.01
  4. Step 4: Simplify right side
    3,296.39x = 8,206,116.77
  5. Step 5: Solve for x
    x = 8,206,116.77/3,296.39
  6. Step 6: Final answer
    x = 2,489.43

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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.