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Finding the Fourth Proportional to 2,791.27, 3,848.02 and 1,994.38

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Solution

The fourth proportional to 2,791.27, 3,848.02 and 1,994.38 is: 2,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.27 : 3,848.02 = 1,994.38 : x
  2. Step 2: Convert to fraction form
    2,791.27/3,848.02 = 1,994.38/x
  3. Step 3: Cross multiply
    2,791.27x = 3,848.02 × 1,994.38
  4. Step 4: Simplify right side
    2,791.27x = 7,674,414.13
  5. Step 5: Solve for x
    x = 7,674,414.13/2,791.27
  6. Step 6: Final answer
    x = 2,749.43

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1.5x scale

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.