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Finding the Fourth Proportional to 1,704.72, 2,354.93 and 1,622.70

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Solution

The fourth proportional to 1,704.72, 2,354.93 and 1,622.70 is: 2,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.72 : 2,354.93 = 1,622.70 : x
  2. Step 2: Convert to fraction form
    1,704.72/2,354.93 = 1,622.70/x
  3. Step 3: Cross multiply
    1,704.72x = 2,354.93 × 1,622.70
  4. Step 4: Simplify right side
    1,704.72x = 3,821,336.80
  5. Step 5: Solve for x
    x = 3,821,336.80/1,704.72
  6. Step 6: Final answer
    x = 2,241.62

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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.