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Finding the Fourth Proportional to 2,596.82, 3,583.75 and 1,711.99

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Solution

The fourth proportional to 2,596.82, 3,583.75 and 1,711.99 is: 2,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.82 : 3,583.75 = 1,711.99 : x
  2. Step 2: Convert to fraction form
    2,596.82/3,583.75 = 1,711.99/x
  3. Step 3: Cross multiply
    2,596.82x = 3,583.75 × 1,711.99
  4. Step 4: Simplify right side
    2,596.82x = 6,135,326.24
  5. Step 5: Solve for x
    x = 6,135,326.24/2,596.82
  6. Step 6: Final answer
    x = 2,362.63

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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.