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Finding the Fourth Proportional to 3,292.44, 4,540.96 and 1,965.84

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Solution

The fourth proportional to 3,292.44, 4,540.96 and 1,965.84 is: 2,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.44 : 4,540.96 = 1,965.84 : x
  2. Step 2: Convert to fraction form
    3,292.44/4,540.96 = 1,965.84/x
  3. Step 3: Cross multiply
    3,292.44x = 4,540.96 × 1,965.84
  4. Step 4: Simplify right side
    3,292.44x = 8,926,800.81
  5. Step 5: Solve for x
    x = 8,926,800.81/3,292.44
  6. Step 6: Final answer
    x = 2,711.30

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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.