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Finding the Fourth Proportional to 4,469.69, 6,705.14 and 1,697.39

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Solution

The fourth proportional to 4,469.69, 6,705.14 and 1,697.39 is: 2,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.69 : 6,705.14 = 1,697.39 : x
  2. Step 2: Convert to fraction form
    4,469.69/6,705.14 = 1,697.39/x
  3. Step 3: Cross multiply
    4,469.69x = 6,705.14 × 1,697.39
  4. Step 4: Simplify right side
    4,469.69x = 11,381,195.57
  5. Step 5: Solve for x
    x = 11,381,195.57/4,469.69
  6. Step 6: Final answer
    x = 2,546.31

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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.