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Finding the Fourth Proportional to 2,696.96, 3,724.44 and 1,766

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Solution

The fourth proportional to 2,696.96, 3,724.44 and 1,766 is: 2,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.96 : 3,724.44 = 1,766 : x
  2. Step 2: Convert to fraction form
    2,696.96/3,724.44 = 1,766/x
  3. Step 3: Cross multiply
    2,696.96x = 3,724.44 × 1,766
  4. Step 4: Simplify right side
    2,696.96x = 6,577,361.04
  5. Step 5: Solve for x
    x = 6,577,361.04/2,696.96
  6. Step 6: Final answer
    x = 2,438.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.