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Finding the Fourth Proportional to 2,274.21, 3,409.31 and 792.41

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Solution

The fourth proportional to 2,274.21, 3,409.31 and 792.41 is: 1,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.21 : 3,409.31 = 792.41 : x
  2. Step 2: Convert to fraction form
    2,274.21/3,409.31 = 792.41/x
  3. Step 3: Cross multiply
    2,274.21x = 3,409.31 × 792.41
  4. Step 4: Simplify right side
    2,274.21x = 2,701,550.33
  5. Step 5: Solve for x
    x = 2,701,550.33/2,274.21
  6. Step 6: Final answer
    x = 1,187.91

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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.