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Finding the Fourth Proportional to 2,168.16, 3,254.27 and 1,192.92

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Solution

The fourth proportional to 2,168.16, 3,254.27 and 1,192.92 is: 1,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.16 : 3,254.27 = 1,192.92 : x
  2. Step 2: Convert to fraction form
    2,168.16/3,254.27 = 1,192.92/x
  3. Step 3: Cross multiply
    2,168.16x = 3,254.27 × 1,192.92
  4. Step 4: Simplify right side
    2,168.16x = 3,882,077.80
  5. Step 5: Solve for x
    x = 3,882,077.80/2,168.16
  6. Step 6: Final answer
    x = 1,790.49

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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.