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Finding the Fourth Proportional to 2,192.47, 3,288.74 and 806.13

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Solution

The fourth proportional to 2,192.47, 3,288.74 and 806.13 is: 1,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.47 : 3,288.74 = 806.13 : x
  2. Step 2: Convert to fraction form
    2,192.47/3,288.74 = 806.13/x
  3. Step 3: Cross multiply
    2,192.47x = 3,288.74 × 806.13
  4. Step 4: Simplify right side
    2,192.47x = 2,651,147.95
  5. Step 5: Solve for x
    x = 2,651,147.95/2,192.47
  6. Step 6: Final answer
    x = 1,209.21

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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.