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Finding the Fourth Proportional to 3,296.97, 4,549.77 and 1,804.85

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Solution

The fourth proportional to 3,296.97, 4,549.77 and 1,804.85 is: 2,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.97 : 4,549.77 = 1,804.85 : x
  2. Step 2: Convert to fraction form
    3,296.97/4,549.77 = 1,804.85/x
  3. Step 3: Cross multiply
    3,296.97x = 4,549.77 × 1,804.85
  4. Step 4: Simplify right side
    3,296.97x = 8,211,646.70
  5. Step 5: Solve for x
    x = 8,211,646.70/3,296.97
  6. Step 6: Final answer
    x = 2,490.66

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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.