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Finding the Fourth Proportional to 2,278.49, 3,144.11 and 1,394.11

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Solution

The fourth proportional to 2,278.49, 3,144.11 and 1,394.11 is: 1,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.49 : 3,144.11 = 1,394.11 : x
  2. Step 2: Convert to fraction form
    2,278.49/3,144.11 = 1,394.11/x
  3. Step 3: Cross multiply
    2,278.49x = 3,144.11 × 1,394.11
  4. Step 4: Simplify right side
    2,278.49x = 4,383,220.36
  5. Step 5: Solve for x
    x = 4,383,220.36/2,278.49
  6. Step 6: Final answer
    x = 1,923.74

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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.