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Finding the Fourth Proportional to 3,448.62, 5,171.82 and 1,226.94

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Solution

The fourth proportional to 3,448.62, 5,171.82 and 1,226.94 is: 1,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.62 : 5,171.82 = 1,226.94 : x
  2. Step 2: Convert to fraction form
    3,448.62/5,171.82 = 1,226.94/x
  3. Step 3: Cross multiply
    3,448.62x = 5,171.82 × 1,226.94
  4. Step 4: Simplify right side
    3,448.62x = 6,345,512.83
  5. Step 5: Solve for x
    x = 6,345,512.83/3,448.62
  6. Step 6: Final answer
    x = 1,840.02

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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.