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Finding the Fourth Proportional to 4,170.26, 6,257.95 and 1,705.09

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Solution

The fourth proportional to 4,170.26, 6,257.95 and 1,705.09 is: 2,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.26 : 6,257.95 = 1,705.09 : x
  2. Step 2: Convert to fraction form
    4,170.26/6,257.95 = 1,705.09/x
  3. Step 3: Cross multiply
    4,170.26x = 6,257.95 × 1,705.09
  4. Step 4: Simplify right side
    4,170.26x = 10,670,348.06
  5. Step 5: Solve for x
    x = 10,670,348.06/4,170.26
  6. Step 6: Final answer
    x = 2,558.68

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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.