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Finding the Fourth Proportional to 2,063.71, 3,093.40 and 967.17

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Solution

The fourth proportional to 2,063.71, 3,093.40 and 967.17 is: 1,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.71 : 3,093.40 = 967.17 : x
  2. Step 2: Convert to fraction form
    2,063.71/3,093.40 = 967.17/x
  3. Step 3: Cross multiply
    2,063.71x = 3,093.40 × 967.17
  4. Step 4: Simplify right side
    2,063.71x = 2,991,843.68
  5. Step 5: Solve for x
    x = 2,991,843.68/2,063.71
  6. Step 6: Final answer
    x = 1,449.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.