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Finding the Fourth Proportional to 1,638.56, 2,261.24 and 892.53

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Solution

The fourth proportional to 1,638.56, 2,261.24 and 892.53 is: 1,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.56 : 2,261.24 = 892.53 : x
  2. Step 2: Convert to fraction form
    1,638.56/2,261.24 = 892.53/x
  3. Step 3: Cross multiply
    1,638.56x = 2,261.24 × 892.53
  4. Step 4: Simplify right side
    1,638.56x = 2,018,224.54
  5. Step 5: Solve for x
    x = 2,018,224.54/1,638.56
  6. Step 6: Final answer
    x = 1,231.71

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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.