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Finding the Fourth Proportional to 3,085.70, 4,257.77 and 1,759.42

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Solution

The fourth proportional to 3,085.70, 4,257.77 and 1,759.42 is: 2,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.70 : 4,257.77 = 1,759.42 : x
  2. Step 2: Convert to fraction form
    3,085.70/4,257.77 = 1,759.42/x
  3. Step 3: Cross multiply
    3,085.70x = 4,257.77 × 1,759.42
  4. Step 4: Simplify right side
    3,085.70x = 7,491,202.22
  5. Step 5: Solve for x
    x = 7,491,202.22/3,085.70
  6. Step 6: Final answer
    x = 2,427.72

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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.