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Finding the Fourth Proportional to 2,063.20, 3,095.23 and 676.43

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Solution

The fourth proportional to 2,063.20, 3,095.23 and 676.43 is: 1,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.20 : 3,095.23 = 676.43 : x
  2. Step 2: Convert to fraction form
    2,063.20/3,095.23 = 676.43/x
  3. Step 3: Cross multiply
    2,063.20x = 3,095.23 × 676.43
  4. Step 4: Simplify right side
    2,063.20x = 2,093,699.69
  5. Step 5: Solve for x
    x = 2,093,699.69/2,063.20
  6. Step 6: Final answer
    x = 1,014.78

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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.