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Finding the Fourth Proportional to 3,112.56, 4,669.56 and 921.96

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Solution

The fourth proportional to 3,112.56, 4,669.56 and 921.96 is: 1,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.56 : 4,669.56 = 921.96 : x
  2. Step 2: Convert to fraction form
    3,112.56/4,669.56 = 921.96/x
  3. Step 3: Cross multiply
    3,112.56x = 4,669.56 × 921.96
  4. Step 4: Simplify right side
    3,112.56x = 4,305,147.54
  5. Step 5: Solve for x
    x = 4,305,147.54/3,112.56
  6. Step 6: Final answer
    x = 1,383.15

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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.