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Finding the Fourth Proportional to 3,296.94, 4,549.57 and 1,804.56

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Solution

The fourth proportional to 3,296.94, 4,549.57 and 1,804.56 is: 2,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.94 : 4,549.57 = 1,804.56 : x
  2. Step 2: Convert to fraction form
    3,296.94/4,549.57 = 1,804.56/x
  3. Step 3: Cross multiply
    3,296.94x = 4,549.57 × 1,804.56
  4. Step 4: Simplify right side
    3,296.94x = 8,209,972.04
  5. Step 5: Solve for x
    x = 8,209,972.04/3,296.94
  6. Step 6: Final answer
    x = 2,490.18

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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.