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Finding the Fourth Proportional to 2,409.74, 3,296.85 and 2,399.37

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Solution

The fourth proportional to 2,409.74, 3,296.85 and 2,399.37 is: 3,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.74 : 3,296.85 = 2,399.37 : x
  2. Step 2: Convert to fraction form
    2,409.74/3,296.85 = 2,399.37/x
  3. Step 3: Cross multiply
    2,409.74x = 3,296.85 × 2,399.37
  4. Step 4: Simplify right side
    2,409.74x = 7,910,362.98
  5. Step 5: Solve for x
    x = 7,910,362.98/2,409.74
  6. Step 6: Final answer
    x = 3,282.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.