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Finding the Fourth Proportional to 2,162.71, 3,245.09 and 1,286.94

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Solution

The fourth proportional to 2,162.71, 3,245.09 and 1,286.94 is: 1,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.71 : 3,245.09 = 1,286.94 : x
  2. Step 2: Convert to fraction form
    2,162.71/3,245.09 = 1,286.94/x
  3. Step 3: Cross multiply
    2,162.71x = 3,245.09 × 1,286.94
  4. Step 4: Simplify right side
    2,162.71x = 4,176,227.22
  5. Step 5: Solve for x
    x = 4,176,227.22/2,162.71
  6. Step 6: Final answer
    x = 1,931.02

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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.