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Finding the Fourth Proportional to 2,238.24, 3,361.02 and 1,378.02

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Solution

The fourth proportional to 2,238.24, 3,361.02 and 1,378.02 is: 2,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.24 : 3,361.02 = 1,378.02 : x
  2. Step 2: Convert to fraction form
    2,238.24/3,361.02 = 1,378.02/x
  3. Step 3: Cross multiply
    2,238.24x = 3,361.02 × 1,378.02
  4. Step 4: Simplify right side
    2,238.24x = 4,631,552.78
  5. Step 5: Solve for x
    x = 4,631,552.78/2,238.24
  6. Step 6: Final answer
    x = 2,069.28

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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.