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Finding the Fourth Proportional to 2,226.38, 3,340.10 and 687.38

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Solution

The fourth proportional to 2,226.38, 3,340.10 and 687.38 is: 1,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.38 : 3,340.10 = 687.38 : x
  2. Step 2: Convert to fraction form
    2,226.38/3,340.10 = 687.38/x
  3. Step 3: Cross multiply
    2,226.38x = 3,340.10 × 687.38
  4. Step 4: Simplify right side
    2,226.38x = 2,295,902.96
  5. Step 5: Solve for x
    x = 2,295,902.96/2,226.38
  6. Step 6: Final answer
    x = 1,031.23

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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.