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Finding the Fourth Proportional to 3,271.82, 4,907.70 and 806.66

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Solution

The fourth proportional to 3,271.82, 4,907.70 and 806.66 is: 1,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.82 : 4,907.70 = 806.66 : x
  2. Step 2: Convert to fraction form
    3,271.82/4,907.70 = 806.66/x
  3. Step 3: Cross multiply
    3,271.82x = 4,907.70 × 806.66
  4. Step 4: Simplify right side
    3,271.82x = 3,958,845.28
  5. Step 5: Solve for x
    x = 3,958,845.28/3,271.82
  6. Step 6: Final answer
    x = 1,209.98

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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.