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Finding the Fourth Proportional to 2,958.45, 4,081.42 and 1,964.26

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Solution

The fourth proportional to 2,958.45, 4,081.42 and 1,964.26 is: 2,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.45 : 4,081.42 = 1,964.26 : x
  2. Step 2: Convert to fraction form
    2,958.45/4,081.42 = 1,964.26/x
  3. Step 3: Cross multiply
    2,958.45x = 4,081.42 × 1,964.26
  4. Step 4: Simplify right side
    2,958.45x = 8,016,970.05
  5. Step 5: Solve for x
    x = 8,016,970.05/2,958.45
  6. Step 6: Final answer
    x = 2,709.85

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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.