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Finding the Fourth Proportional to 3,286.94, 4,918.05 and 1,965.83

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Solution

The fourth proportional to 3,286.94, 4,918.05 and 1,965.83 is: 2,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.94 : 4,918.05 = 1,965.83 : x
  2. Step 2: Convert to fraction form
    3,286.94/4,918.05 = 1,965.83/x
  3. Step 3: Cross multiply
    3,286.94x = 4,918.05 × 1,965.83
  4. Step 4: Simplify right side
    3,286.94x = 9,668,025.64
  5. Step 5: Solve for x
    x = 9,668,025.64/3,286.94
  6. Step 6: Final answer
    x = 2,941.35

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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.