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Finding the Fourth Proportional to 2,855.68, 4,282.22 and 1,188.61

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Solution

The fourth proportional to 2,855.68, 4,282.22 and 1,188.61 is: 1,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.68 : 4,282.22 = 1,188.61 : x
  2. Step 2: Convert to fraction form
    2,855.68/4,282.22 = 1,188.61/x
  3. Step 3: Cross multiply
    2,855.68x = 4,282.22 × 1,188.61
  4. Step 4: Simplify right side
    2,855.68x = 5,089,883.57
  5. Step 5: Solve for x
    x = 5,089,883.57/2,855.68
  6. Step 6: Final answer
    x = 1,782.37

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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.