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Finding the Fourth Proportional to 2,338.12, 3,507.42 and 799.24

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Solution

The fourth proportional to 2,338.12, 3,507.42 and 799.24 is: 1,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.12 : 3,507.42 = 799.24 : x
  2. Step 2: Convert to fraction form
    2,338.12/3,507.42 = 799.24/x
  3. Step 3: Cross multiply
    2,338.12x = 3,507.42 × 799.24
  4. Step 4: Simplify right side
    2,338.12x = 2,803,270.36
  5. Step 5: Solve for x
    x = 2,803,270.36/2,338.12
  6. Step 6: Final answer
    x = 1,198.94

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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.