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Finding the Fourth Proportional to 2,168.84, 2,992.74 and 1,224.56

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Solution

The fourth proportional to 2,168.84, 2,992.74 and 1,224.56 is: 1,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.84 : 2,992.74 = 1,224.56 : x
  2. Step 2: Convert to fraction form
    2,168.84/2,992.74 = 1,224.56/x
  3. Step 3: Cross multiply
    2,168.84x = 2,992.74 × 1,224.56
  4. Step 4: Simplify right side
    2,168.84x = 3,664,789.69
  5. Step 5: Solve for x
    x = 3,664,789.69/2,168.84
  6. Step 6: Final answer
    x = 1,689.75

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