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Finding the Fourth Proportional to 2,240.21, 3,361.27 and 778.56

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Solution

The fourth proportional to 2,240.21, 3,361.27 and 778.56 is: 1,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.21 : 3,361.27 = 778.56 : x
  2. Step 2: Convert to fraction form
    2,240.21/3,361.27 = 778.56/x
  3. Step 3: Cross multiply
    2,240.21x = 3,361.27 × 778.56
  4. Step 4: Simplify right side
    2,240.21x = 2,616,948.42
  5. Step 5: Solve for x
    x = 2,616,948.42/2,240.21
  6. Step 6: Final answer
    x = 1,168.17

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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.