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Finding the Fourth Proportional to 2,274.32, 3,409.32 and 812

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Solution

The fourth proportional to 2,274.32, 3,409.32 and 812 is: 1,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.32 : 3,409.32 = 812 : x
  2. Step 2: Convert to fraction form
    2,274.32/3,409.32 = 812/x
  3. Step 3: Cross multiply
    2,274.32x = 3,409.32 × 812
  4. Step 4: Simplify right side
    2,274.32x = 2,768,367.84
  5. Step 5: Solve for x
    x = 2,768,367.84/2,274.32
  6. Step 6: Final answer
    x = 1,217.23

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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.