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Finding the Fourth Proportional to 3,261.65, 4,892.47 and 796.47

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Solution

The fourth proportional to 3,261.65, 4,892.47 and 796.47 is: 1,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.65 : 4,892.47 = 796.47 : x
  2. Step 2: Convert to fraction form
    3,261.65/4,892.47 = 796.47/x
  3. Step 3: Cross multiply
    3,261.65x = 4,892.47 × 796.47
  4. Step 4: Simplify right side
    3,261.65x = 3,896,685.24
  5. Step 5: Solve for x
    x = 3,896,685.24/3,261.65
  6. Step 6: Final answer
    x = 1,194.70

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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.