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Finding the Fourth Proportional to 2,645.22, 3,959.73 and 2,367.66

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Solution

The fourth proportional to 2,645.22, 3,959.73 and 2,367.66 is: 3,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.22 : 3,959.73 = 2,367.66 : x
  2. Step 2: Convert to fraction form
    2,645.22/3,959.73 = 2,367.66/x
  3. Step 3: Cross multiply
    2,645.22x = 3,959.73 × 2,367.66
  4. Step 4: Simplify right side
    2,645.22x = 9,375,294.33
  5. Step 5: Solve for x
    x = 9,375,294.33/2,645.22
  6. Step 6: Final answer
    x = 3,544.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.