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Finding the Fourth Proportional to 3,271.92, 4,907.70 and 806.73

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Solution

The fourth proportional to 3,271.92, 4,907.70 and 806.73 is: 1,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.92 : 4,907.70 = 806.73 : x
  2. Step 2: Convert to fraction form
    3,271.92/4,907.70 = 806.73/x
  3. Step 3: Cross multiply
    3,271.92x = 4,907.70 × 806.73
  4. Step 4: Simplify right side
    3,271.92x = 3,959,188.82
  5. Step 5: Solve for x
    x = 3,959,188.82/3,271.92
  6. Step 6: Final answer
    x = 1,210.05

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1.5x scale

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.