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Finding the Fourth Proportional to 2,239.78, 3,361.02 and 779.96

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Solution

The fourth proportional to 2,239.78, 3,361.02 and 779.96 is: 1,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.78 : 3,361.02 = 779.96 : x
  2. Step 2: Convert to fraction form
    2,239.78/3,361.02 = 779.96/x
  3. Step 3: Cross multiply
    2,239.78x = 3,361.02 × 779.96
  4. Step 4: Simplify right side
    2,239.78x = 2,621,447.73
  5. Step 5: Solve for x
    x = 2,621,447.73/2,239.78
  6. Step 6: Final answer
    x = 1,170.40

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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.