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Finding the Fourth Proportional to 2,564.28, 3,847.17 and 832.86

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Solution

The fourth proportional to 2,564.28, 3,847.17 and 832.86 is: 1,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.28 : 3,847.17 = 832.86 : x
  2. Step 2: Convert to fraction form
    2,564.28/3,847.17 = 832.86/x
  3. Step 3: Cross multiply
    2,564.28x = 3,847.17 × 832.86
  4. Step 4: Simplify right side
    2,564.28x = 3,204,154.01
  5. Step 5: Solve for x
    x = 3,204,154.01/2,564.28
  6. Step 6: Final answer
    x = 1,249.53

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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.