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Finding the Fourth Proportional to 2,749.44, 3,794.56 and 2,282.88

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Solution

The fourth proportional to 2,749.44, 3,794.56 and 2,282.88 is: 3,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.44 : 3,794.56 = 2,282.88 : x
  2. Step 2: Convert to fraction form
    2,749.44/3,794.56 = 2,282.88/x
  3. Step 3: Cross multiply
    2,749.44x = 3,794.56 × 2,282.88
  4. Step 4: Simplify right side
    2,749.44x = 8,662,525.13
  5. Step 5: Solve for x
    x = 8,662,525.13/2,749.44
  6. Step 6: Final answer
    x = 3,150.65

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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.