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Finding the Fourth Proportional to 2,581.97, 3,561.49 and 2,059.25

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Solution

The fourth proportional to 2,581.97, 3,561.49 and 2,059.25 is: 2,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.97 : 3,561.49 = 2,059.25 : x
  2. Step 2: Convert to fraction form
    2,581.97/3,561.49 = 2,059.25/x
  3. Step 3: Cross multiply
    2,581.97x = 3,561.49 × 2,059.25
  4. Step 4: Simplify right side
    2,581.97x = 7,333,998.28
  5. Step 5: Solve for x
    x = 7,333,998.28/2,581.97
  6. Step 6: Final answer
    x = 2,840.47

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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.