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Finding the Fourth Proportional to 2,959.45, 4,082.80 and 1,965.26

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Solution

The fourth proportional to 2,959.45, 4,082.80 and 1,965.26 is: 2,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.45 : 4,082.80 = 1,965.26 : x
  2. Step 2: Convert to fraction form
    2,959.45/4,082.80 = 1,965.26/x
  3. Step 3: Cross multiply
    2,959.45x = 4,082.80 × 1,965.26
  4. Step 4: Simplify right side
    2,959.45x = 8,023,763.53
  5. Step 5: Solve for x
    x = 8,023,763.53/2,959.45
  6. Step 6: Final answer
    x = 2,711.23

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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.