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Finding the Fourth Proportional to 1,644.58, 2,266.96 and 1,224.26

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Solution

The fourth proportional to 1,644.58, 2,266.96 and 1,224.26 is: 1,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.58 : 2,266.96 = 1,224.26 : x
  2. Step 2: Convert to fraction form
    1,644.58/2,266.96 = 1,224.26/x
  3. Step 3: Cross multiply
    1,644.58x = 2,266.96 × 1,224.26
  4. Step 4: Simplify right side
    1,644.58x = 2,775,361.05
  5. Step 5: Solve for x
    x = 2,775,361.05/1,644.58
  6. Step 6: Final answer
    x = 1,687.58

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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.