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Finding the Fourth Proportional to 2,115.96, 3,172.14 and 818.34

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Solution

The fourth proportional to 2,115.96, 3,172.14 and 818.34 is: 1,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.96 : 3,172.14 = 818.34 : x
  2. Step 2: Convert to fraction form
    2,115.96/3,172.14 = 818.34/x
  3. Step 3: Cross multiply
    2,115.96x = 3,172.14 × 818.34
  4. Step 4: Simplify right side
    2,115.96x = 2,595,889.05
  5. Step 5: Solve for x
    x = 2,595,889.05/2,115.96
  6. Step 6: Final answer
    x = 1,226.81

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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.