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Finding the Fourth Proportional to 3,296.29, 4,548.80 and 1,804.20

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Solution

The fourth proportional to 3,296.29, 4,548.80 and 1,804.20 is: 2,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.29 : 4,548.80 = 1,804.20 : x
  2. Step 2: Convert to fraction form
    3,296.29/4,548.80 = 1,804.20/x
  3. Step 3: Cross multiply
    3,296.29x = 4,548.80 × 1,804.20
  4. Step 4: Simplify right side
    3,296.29x = 8,206,935.94
  5. Step 5: Solve for x
    x = 8,206,935.94/3,296.29
  6. Step 6: Final answer
    x = 2,489.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.