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Finding the Fourth Proportional to 2,855.22, 3,940.36 and 1,735.98

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Solution

The fourth proportional to 2,855.22, 3,940.36 and 1,735.98 is: 2,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.22 : 3,940.36 = 1,735.98 : x
  2. Step 2: Convert to fraction form
    2,855.22/3,940.36 = 1,735.98/x
  3. Step 3: Cross multiply
    2,855.22x = 3,940.36 × 1,735.98
  4. Step 4: Simplify right side
    2,855.22x = 6,840,357.77
  5. Step 5: Solve for x
    x = 6,840,357.77/2,855.22
  6. Step 6: Final answer
    x = 2,395.74

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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.