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Finding the Fourth Proportional to 2,846.42, 4,236.47 and 2,819.06

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Solution

The fourth proportional to 2,846.42, 4,236.47 and 2,819.06 is: 4,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.42 : 4,236.47 = 2,819.06 : x
  2. Step 2: Convert to fraction form
    2,846.42/4,236.47 = 2,819.06/x
  3. Step 3: Cross multiply
    2,846.42x = 4,236.47 × 2,819.06
  4. Step 4: Simplify right side
    2,846.42x = 11,942,863.12
  5. Step 5: Solve for x
    x = 11,942,863.12/2,846.42
  6. Step 6: Final answer
    x = 4,195.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.