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Finding the Fourth Proportional to 2,889.22, 3,987.57 and 1,843.78

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Solution

The fourth proportional to 2,889.22, 3,987.57 and 1,843.78 is: 2,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.22 : 3,987.57 = 1,843.78 : x
  2. Step 2: Convert to fraction form
    2,889.22/3,987.57 = 1,843.78/x
  3. Step 3: Cross multiply
    2,889.22x = 3,987.57 × 1,843.78
  4. Step 4: Simplify right side
    2,889.22x = 7,352,201.81
  5. Step 5: Solve for x
    x = 7,352,201.81/2,889.22
  6. Step 6: Final answer
    x = 2,544.70

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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.