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Finding the Fourth Proportional to 2,240.86, 3,361.63 and 1,144.63

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Solution

The fourth proportional to 2,240.86, 3,361.63 and 1,144.63 is: 1,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.86 : 3,361.63 = 1,144.63 : x
  2. Step 2: Convert to fraction form
    2,240.86/3,361.63 = 1,144.63/x
  3. Step 3: Cross multiply
    2,240.86x = 3,361.63 × 1,144.63
  4. Step 4: Simplify right side
    2,240.86x = 3,847,822.55
  5. Step 5: Solve for x
    x = 3,847,822.55/2,240.86
  6. Step 6: Final answer
    x = 1,717.12

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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.