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Finding the Fourth Proportional to 2,431.26, 3,650.22 and 1,262.22

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Solution

The fourth proportional to 2,431.26, 3,650.22 and 1,262.22 is: 1,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.26 : 3,650.22 = 1,262.22 : x
  2. Step 2: Convert to fraction form
    2,431.26/3,650.22 = 1,262.22/x
  3. Step 3: Cross multiply
    2,431.26x = 3,650.22 × 1,262.22
  4. Step 4: Simplify right side
    2,431.26x = 4,607,380.69
  5. Step 5: Solve for x
    x = 4,607,380.69/2,431.26
  6. Step 6: Final answer
    x = 1,895.06

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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.