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Finding the Fourth Proportional to 3,261.40, 4,892.00 and 796.23

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Solution

The fourth proportional to 3,261.40, 4,892.00 and 796.23 is: 1,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.40 : 4,892.00 = 796.23 : x
  2. Step 2: Convert to fraction form
    3,261.40/4,892.00 = 796.23/x
  3. Step 3: Cross multiply
    3,261.40x = 4,892.00 × 796.23
  4. Step 4: Simplify right side
    3,261.40x = 3,895,153.18
  5. Step 5: Solve for x
    x = 3,895,153.18/3,261.40
  6. Step 6: Final answer
    x = 1,194.32

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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.