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Finding the Fourth Proportional to 3,264.13, 4,896.20 and 1,965.30

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Solution

The fourth proportional to 3,264.13, 4,896.20 and 1,965.30 is: 2,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.13 : 4,896.20 = 1,965.30 : x
  2. Step 2: Convert to fraction form
    3,264.13/4,896.20 = 1,965.30/x
  3. Step 3: Cross multiply
    3,264.13x = 4,896.20 × 1,965.30
  4. Step 4: Simplify right side
    3,264.13x = 9,622,501.86
  5. Step 5: Solve for x
    x = 9,622,501.86/3,264.13
  6. Step 6: Final answer
    x = 2,947.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.