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Finding the Fourth Proportional to 2,059.54, 2,843.09 and 1,314.49

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Solution

The fourth proportional to 2,059.54, 2,843.09 and 1,314.49 is: 1,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.54 : 2,843.09 = 1,314.49 : x
  2. Step 2: Convert to fraction form
    2,059.54/2,843.09 = 1,314.49/x
  3. Step 3: Cross multiply
    2,059.54x = 2,843.09 × 1,314.49
  4. Step 4: Simplify right side
    2,059.54x = 3,737,213.37
  5. Step 5: Solve for x
    x = 3,737,213.37/2,059.54
  6. Step 6: Final answer
    x = 1,814.59

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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.