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Finding the Fourth Proportional to 1,843.89, 2,544.26 and 1,214.67

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Solution

The fourth proportional to 1,843.89, 2,544.26 and 1,214.67 is: 1,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.89 : 2,544.26 = 1,214.67 : x
  2. Step 2: Convert to fraction form
    1,843.89/2,544.26 = 1,214.67/x
  3. Step 3: Cross multiply
    1,843.89x = 2,544.26 × 1,214.67
  4. Step 4: Simplify right side
    1,843.89x = 3,090,439.44
  5. Step 5: Solve for x
    x = 3,090,439.44/1,843.89
  6. Step 6: Final answer
    x = 1,676.04

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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.