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Finding the Fourth Proportional to 3,296.90, 4,549.71 and 1,804.81

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Solution

The fourth proportional to 3,296.90, 4,549.71 and 1,804.81 is: 2,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.90 : 4,549.71 = 1,804.81 : x
  2. Step 2: Convert to fraction form
    3,296.90/4,549.71 = 1,804.81/x
  3. Step 3: Cross multiply
    3,296.90x = 4,549.71 × 1,804.81
  4. Step 4: Simplify right side
    3,296.90x = 8,211,353.08
  5. Step 5: Solve for x
    x = 8,211,353.08/3,296.90
  6. Step 6: Final answer
    x = 2,490.63

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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.