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Finding the Fourth Proportional to 3,102.05, 4,280.82 and 1,704.80

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Solution

The fourth proportional to 3,102.05, 4,280.82 and 1,704.80 is: 2,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.05 : 4,280.82 = 1,704.80 : x
  2. Step 2: Convert to fraction form
    3,102.05/4,280.82 = 1,704.80/x
  3. Step 3: Cross multiply
    3,102.05x = 4,280.82 × 1,704.80
  4. Step 4: Simplify right side
    3,102.05x = 7,297,936.55
  5. Step 5: Solve for x
    x = 7,297,936.55/3,102.05
  6. Step 6: Final answer
    x = 2,352.62

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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.