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Finding the Fourth Proportional to 2,063.72, 3,093.40 and 967.18

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Solution

The fourth proportional to 2,063.72, 3,093.40 and 967.18 is: 1,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.72 : 3,093.40 = 967.18 : x
  2. Step 2: Convert to fraction form
    2,063.72/3,093.40 = 967.18/x
  3. Step 3: Cross multiply
    2,063.72x = 3,093.40 × 967.18
  4. Step 4: Simplify right side
    2,063.72x = 2,991,874.61
  5. Step 5: Solve for x
    x = 2,991,874.61/2,063.72
  6. Step 6: Final answer
    x = 1,449.75

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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.