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Finding the Fourth Proportional to 2,507.26, 3,761.03 and 775.75

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Solution

The fourth proportional to 2,507.26, 3,761.03 and 775.75 is: 1,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.26 : 3,761.03 = 775.75 : x
  2. Step 2: Convert to fraction form
    2,507.26/3,761.03 = 775.75/x
  3. Step 3: Cross multiply
    2,507.26x = 3,761.03 × 775.75
  4. Step 4: Simplify right side
    2,507.26x = 2,917,619.02
  5. Step 5: Solve for x
    x = 2,917,619.02/2,507.26
  6. Step 6: Final answer
    x = 1,163.67

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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.