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Finding the Fourth Proportional to 2,855.49, 4,277.27 and 2,297.18

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Solution

The fourth proportional to 2,855.49, 4,277.27 and 2,297.18 is: 3,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.49 : 4,277.27 = 2,297.18 : x
  2. Step 2: Convert to fraction form
    2,855.49/4,277.27 = 2,297.18/x
  3. Step 3: Cross multiply
    2,855.49x = 4,277.27 × 2,297.18
  4. Step 4: Simplify right side
    2,855.49x = 9,825,626.23
  5. Step 5: Solve for x
    x = 9,825,626.23/2,855.49
  6. Step 6: Final answer
    x = 3,440.96

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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.