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Finding the Fourth Proportional to 2,059.16, 2,846.09 and 1,821.43

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Solution

The fourth proportional to 2,059.16, 2,846.09 and 1,821.43 is: 2,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.16 : 2,846.09 = 1,821.43 : x
  2. Step 2: Convert to fraction form
    2,059.16/2,846.09 = 1,821.43/x
  3. Step 3: Cross multiply
    2,059.16x = 2,846.09 × 1,821.43
  4. Step 4: Simplify right side
    2,059.16x = 5,183,930.37
  5. Step 5: Solve for x
    x = 5,183,930.37/2,059.16
  6. Step 6: Final answer
    x = 2,517.50

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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.