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Finding the Fourth Proportional to 2,507.10, 3,761.06 and 775.73

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Solution

The fourth proportional to 2,507.10, 3,761.06 and 775.73 is: 1,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.10 : 3,761.06 = 775.73 : x
  2. Step 2: Convert to fraction form
    2,507.10/3,761.06 = 775.73/x
  3. Step 3: Cross multiply
    2,507.10x = 3,761.06 × 775.73
  4. Step 4: Simplify right side
    2,507.10x = 2,917,544.39
  5. Step 5: Solve for x
    x = 2,917,544.39/2,507.10
  6. Step 6: Final answer
    x = 1,163.71

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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.