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Finding the Fourth Proportional to 3,231.54, 4,846.05 and 1,383.54

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Solution

The fourth proportional to 3,231.54, 4,846.05 and 1,383.54 is: 2,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.54 : 4,846.05 = 1,383.54 : x
  2. Step 2: Convert to fraction form
    3,231.54/4,846.05 = 1,383.54/x
  3. Step 3: Cross multiply
    3,231.54x = 4,846.05 × 1,383.54
  4. Step 4: Simplify right side
    3,231.54x = 6,704,704.02
  5. Step 5: Solve for x
    x = 6,704,704.02/3,231.54
  6. Step 6: Final answer
    x = 2,074.77

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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.