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Finding the Fourth Proportional to 2,855.70, 4,283.58 and 1,211.22

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Solution

The fourth proportional to 2,855.70, 4,283.58 and 1,211.22 is: 1,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.70 : 4,283.58 = 1,211.22 : x
  2. Step 2: Convert to fraction form
    2,855.70/4,283.58 = 1,211.22/x
  3. Step 3: Cross multiply
    2,855.70x = 4,283.58 × 1,211.22
  4. Step 4: Simplify right side
    2,855.70x = 5,188,357.77
  5. Step 5: Solve for x
    x = 5,188,357.77/2,855.70
  6. Step 6: Final answer
    x = 1,816.84

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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.