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Finding the Fourth Proportional to 2,193.84, 3,027.71 and 1,249.68

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Solution

The fourth proportional to 2,193.84, 3,027.71 and 1,249.68 is: 1,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.84 : 3,027.71 = 1,249.68 : x
  2. Step 2: Convert to fraction form
    2,193.84/3,027.71 = 1,249.68/x
  3. Step 3: Cross multiply
    2,193.84x = 3,027.71 × 1,249.68
  4. Step 4: Simplify right side
    2,193.84x = 3,783,662.38
  5. Step 5: Solve for x
    x = 3,783,662.38/2,193.84
  6. Step 6: Final answer
    x = 1,724.68

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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.