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Finding the Fourth Proportional to 2,610.94, 3,917.26 and 967.61

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Solution

The fourth proportional to 2,610.94, 3,917.26 and 967.61 is: 1,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.94 : 3,917.26 = 967.61 : x
  2. Step 2: Convert to fraction form
    2,610.94/3,917.26 = 967.61/x
  3. Step 3: Cross multiply
    2,610.94x = 3,917.26 × 967.61
  4. Step 4: Simplify right side
    2,610.94x = 3,790,360.36
  5. Step 5: Solve for x
    x = 3,790,360.36/2,610.94
  6. Step 6: Final answer
    x = 1,451.73

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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.