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Finding the Fourth Proportional to 2,256.74, 3,380.46 and 2,067.74

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Solution

The fourth proportional to 2,256.74, 3,380.46 and 2,067.74 is: 3,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.74 : 3,380.46 = 2,067.74 : x
  2. Step 2: Convert to fraction form
    2,256.74/3,380.46 = 2,067.74/x
  3. Step 3: Cross multiply
    2,256.74x = 3,380.46 × 2,067.74
  4. Step 4: Simplify right side
    2,256.74x = 6,989,912.36
  5. Step 5: Solve for x
    x = 6,989,912.36/2,256.74
  6. Step 6: Final answer
    x = 3,097.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.