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Finding the Fourth Proportional to 2,704.49, 4,056.68 and 855.71

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Solution

The fourth proportional to 2,704.49, 4,056.68 and 855.71 is: 1,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.49 : 4,056.68 = 855.71 : x
  2. Step 2: Convert to fraction form
    2,704.49/4,056.68 = 855.71/x
  3. Step 3: Cross multiply
    2,704.49x = 4,056.68 × 855.71
  4. Step 4: Simplify right side
    2,704.49x = 3,471,361.53
  5. Step 5: Solve for x
    x = 3,471,361.53/2,704.49
  6. Step 6: Final answer
    x = 1,283.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.