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Finding the Fourth Proportional to 2,704.96, 4,056.96 and 855.68

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Solution

The fourth proportional to 2,704.96, 4,056.96 and 855.68 is: 1,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.96 : 4,056.96 = 855.68 : x
  2. Step 2: Convert to fraction form
    2,704.96/4,056.96 = 855.68/x
  3. Step 3: Cross multiply
    2,704.96x = 4,056.96 × 855.68
  4. Step 4: Simplify right side
    2,704.96x = 3,471,459.53
  5. Step 5: Solve for x
    x = 3,471,459.53/2,704.96
  6. Step 6: Final answer
    x = 1,283.37

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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.