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Finding the Fourth Proportional to 2,192.04, 3,286.98 and 804.33

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Solution

The fourth proportional to 2,192.04, 3,286.98 and 804.33 is: 1,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.04 : 3,286.98 = 804.33 : x
  2. Step 2: Convert to fraction form
    2,192.04/3,286.98 = 804.33/x
  3. Step 3: Cross multiply
    2,192.04x = 3,286.98 × 804.33
  4. Step 4: Simplify right side
    2,192.04x = 2,643,816.62
  5. Step 5: Solve for x
    x = 2,643,816.62/2,192.04
  6. Step 6: Final answer
    x = 1,206.10

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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.