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Finding the Fourth Proportional to 3,166.74, 4,747.38 and 1,704.20

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Solution

The fourth proportional to 3,166.74, 4,747.38 and 1,704.20 is: 2,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.74 : 4,747.38 = 1,704.20 : x
  2. Step 2: Convert to fraction form
    3,166.74/4,747.38 = 1,704.20/x
  3. Step 3: Cross multiply
    3,166.74x = 4,747.38 × 1,704.20
  4. Step 4: Simplify right side
    3,166.74x = 8,090,485.00
  5. Step 5: Solve for x
    x = 8,090,485.00/3,166.74
  6. Step 6: Final answer
    x = 2,554.83

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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.