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Finding the Fourth Proportional to 2,168.43, 2,992.38 and 1,224.06

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Solution

The fourth proportional to 2,168.43, 2,992.38 and 1,224.06 is: 1,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.43 : 2,992.38 = 1,224.06 : x
  2. Step 2: Convert to fraction form
    2,168.43/2,992.38 = 1,224.06/x
  3. Step 3: Cross multiply
    2,168.43x = 2,992.38 × 1,224.06
  4. Step 4: Simplify right side
    2,168.43x = 3,662,852.66
  5. Step 5: Solve for x
    x = 3,662,852.66/2,168.43
  6. Step 6: Final answer
    x = 1,689.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.