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Finding the Fourth Proportional to 2,704.38, 4,054.74 and 2,175.85

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Solution

The fourth proportional to 2,704.38, 4,054.74 and 2,175.85 is: 3,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.38 : 4,054.74 = 2,175.85 : x
  2. Step 2: Convert to fraction form
    2,704.38/4,054.74 = 2,175.85/x
  3. Step 3: Cross multiply
    2,704.38x = 4,054.74 × 2,175.85
  4. Step 4: Simplify right side
    2,704.38x = 8,822,506.03
  5. Step 5: Solve for x
    x = 8,822,506.03/2,704.38
  6. Step 6: Final answer
    x = 3,262.30

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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.