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Finding the Fourth Proportional to 2,960.96, 4,086.32 and 1,964.52

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Solution

The fourth proportional to 2,960.96, 4,086.32 and 1,964.52 is: 2,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.96 : 4,086.32 = 1,964.52 : x
  2. Step 2: Convert to fraction form
    2,960.96/4,086.32 = 1,964.52/x
  3. Step 3: Cross multiply
    2,960.96x = 4,086.32 × 1,964.52
  4. Step 4: Simplify right side
    2,960.96x = 8,027,647.54
  5. Step 5: Solve for x
    x = 8,027,647.54/2,960.96
  6. Step 6: Final answer
    x = 2,711.17

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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.