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Finding the Fourth Proportional to 1,772.72, 2,446.37 and 986.78

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Solution

The fourth proportional to 1,772.72, 2,446.37 and 986.78 is: 1,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.72 : 2,446.37 = 986.78 : x
  2. Step 2: Convert to fraction form
    1,772.72/2,446.37 = 986.78/x
  3. Step 3: Cross multiply
    1,772.72x = 2,446.37 × 986.78
  4. Step 4: Simplify right side
    1,772.72x = 2,414,033.87
  5. Step 5: Solve for x
    x = 2,414,033.87/1,772.72
  6. Step 6: Final answer
    x = 1,361.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.