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Finding the Fourth Proportional to 2,314.75, 3,472.67 and 775.75

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Solution

The fourth proportional to 2,314.75, 3,472.67 and 775.75 is: 1,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.75 : 3,472.67 = 775.75 : x
  2. Step 2: Convert to fraction form
    2,314.75/3,472.67 = 775.75/x
  3. Step 3: Cross multiply
    2,314.75x = 3,472.67 × 775.75
  4. Step 4: Simplify right side
    2,314.75x = 2,693,923.75
  5. Step 5: Solve for x
    x = 2,693,923.75/2,314.75
  6. Step 6: Final answer
    x = 1,163.81

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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.