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Finding the Fourth Proportional to 2,249.41, 3,374.09 and 768.62

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Solution

The fourth proportional to 2,249.41, 3,374.09 and 768.62 is: 1,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.41 : 3,374.09 = 768.62 : x
  2. Step 2: Convert to fraction form
    2,249.41/3,374.09 = 768.62/x
  3. Step 3: Cross multiply
    2,249.41x = 3,374.09 × 768.62
  4. Step 4: Simplify right side
    2,249.41x = 2,593,390.76
  5. Step 5: Solve for x
    x = 2,593,390.76/2,249.41
  6. Step 6: Final answer
    x = 1,152.92

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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.