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Finding the Fourth Proportional to 1,960.82, 2,706.29 and 1,174.99

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Solution

The fourth proportional to 1,960.82, 2,706.29 and 1,174.99 is: 1,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.82 : 2,706.29 = 1,174.99 : x
  2. Step 2: Convert to fraction form
    1,960.82/2,706.29 = 1,174.99/x
  3. Step 3: Cross multiply
    1,960.82x = 2,706.29 × 1,174.99
  4. Step 4: Simplify right side
    1,960.82x = 3,179,857.22
  5. Step 5: Solve for x
    x = 3,179,857.22/1,960.82
  6. Step 6: Final answer
    x = 1,621.69

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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.