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Finding the Fourth Proportional to 2,843.71, 4,266.80 and 1,089.25

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Solution

The fourth proportional to 2,843.71, 4,266.80 and 1,089.25 is: 1,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.71 : 4,266.80 = 1,089.25 : x
  2. Step 2: Convert to fraction form
    2,843.71/4,266.80 = 1,089.25/x
  3. Step 3: Cross multiply
    2,843.71x = 4,266.80 × 1,089.25
  4. Step 4: Simplify right side
    2,843.71x = 4,647,611.90
  5. Step 5: Solve for x
    x = 4,647,611.90/2,843.71
  6. Step 6: Final answer
    x = 1,634.35

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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.