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Finding the Fourth Proportional to 2,605.97, 3,596.15 and 1,427.02

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Solution

The fourth proportional to 2,605.97, 3,596.15 and 1,427.02 is: 1,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.97 : 3,596.15 = 1,427.02 : x
  2. Step 2: Convert to fraction form
    2,605.97/3,596.15 = 1,427.02/x
  3. Step 3: Cross multiply
    2,605.97x = 3,596.15 × 1,427.02
  4. Step 4: Simplify right side
    2,605.97x = 5,131,764.52
  5. Step 5: Solve for x
    x = 5,131,764.52/2,605.97
  6. Step 6: Final answer
    x = 1,969.23

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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.