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Finding the Fourth Proportional to 3,296.67, 4,549.30 and 1,969.59

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Solution

The fourth proportional to 3,296.67, 4,549.30 and 1,969.59 is: 2,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.67 : 4,549.30 = 1,969.59 : x
  2. Step 2: Convert to fraction form
    3,296.67/4,549.30 = 1,969.59/x
  3. Step 3: Cross multiply
    3,296.67x = 4,549.30 × 1,969.59
  4. Step 4: Simplify right side
    3,296.67x = 8,960,263.44
  5. Step 5: Solve for x
    x = 8,960,263.44/3,296.67
  6. Step 6: Final answer
    x = 2,717.97

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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.