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Finding the Fourth Proportional to 3,194.84, 4,791.86 and 1,248.41

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Solution

The fourth proportional to 3,194.84, 4,791.86 and 1,248.41 is: 1,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.84 : 4,791.86 = 1,248.41 : x
  2. Step 2: Convert to fraction form
    3,194.84/4,791.86 = 1,248.41/x
  3. Step 3: Cross multiply
    3,194.84x = 4,791.86 × 1,248.41
  4. Step 4: Simplify right side
    3,194.84x = 5,982,199.70
  5. Step 5: Solve for x
    x = 5,982,199.70/3,194.84
  6. Step 6: Final answer
    x = 1,872.46

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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.