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Finding the Fourth Proportional to 2,338.14, 3,507.87 and 694.68

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Solution

The fourth proportional to 2,338.14, 3,507.87 and 694.68 is: 1,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.14 : 3,507.87 = 694.68 : x
  2. Step 2: Convert to fraction form
    2,338.14/3,507.87 = 694.68/x
  3. Step 3: Cross multiply
    2,338.14x = 3,507.87 × 694.68
  4. Step 4: Simplify right side
    2,338.14x = 2,436,847.13
  5. Step 5: Solve for x
    x = 2,436,847.13/2,338.14
  6. Step 6: Final answer
    x = 1,042.22

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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.