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Finding the Fourth Proportional to 2,600.82, 3,589.25 and 1,605.95

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Solution

The fourth proportional to 2,600.82, 3,589.25 and 1,605.95 is: 2,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.82 : 3,589.25 = 1,605.95 : x
  2. Step 2: Convert to fraction form
    2,600.82/3,589.25 = 1,605.95/x
  3. Step 3: Cross multiply
    2,600.82x = 3,589.25 × 1,605.95
  4. Step 4: Simplify right side
    2,600.82x = 5,764,130.06
  5. Step 5: Solve for x
    x = 5,764,130.06/2,600.82
  6. Step 6: Final answer
    x = 2,216.27

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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.