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Finding the Fourth Proportional to 2,664.26, 3,997.62 and 1,366.64

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Solution

The fourth proportional to 2,664.26, 3,997.62 and 1,366.64 is: 2,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.26 : 3,997.62 = 1,366.64 : x
  2. Step 2: Convert to fraction form
    2,664.26/3,997.62 = 1,366.64/x
  3. Step 3: Cross multiply
    2,664.26x = 3,997.62 × 1,366.64
  4. Step 4: Simplify right side
    2,664.26x = 5,463,307.40
  5. Step 5: Solve for x
    x = 5,463,307.40/2,664.26
  6. Step 6: Final answer
    x = 2,050.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.