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Finding the Fourth Proportional to 2,567.27, 3,850.22 and 718.27

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Solution

The fourth proportional to 2,567.27, 3,850.22 and 718.27 is: 1,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.27 : 3,850.22 = 718.27 : x
  2. Step 2: Convert to fraction form
    2,567.27/3,850.22 = 718.27/x
  3. Step 3: Cross multiply
    2,567.27x = 3,850.22 × 718.27
  4. Step 4: Simplify right side
    2,567.27x = 2,765,489.69
  5. Step 5: Solve for x
    x = 2,765,489.69/2,567.27
  6. Step 6: Final answer
    x = 1,077.21

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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.