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Finding the Fourth Proportional to 2,155.28, 3,232.94 and 921.92

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Solution

The fourth proportional to 2,155.28, 3,232.94 and 921.92 is: 1,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.28 : 3,232.94 = 921.92 : x
  2. Step 2: Convert to fraction form
    2,155.28/3,232.94 = 921.92/x
  3. Step 3: Cross multiply
    2,155.28x = 3,232.94 × 921.92
  4. Step 4: Simplify right side
    2,155.28x = 2,980,491.27
  5. Step 5: Solve for x
    x = 2,980,491.27/2,155.28
  6. Step 6: Final answer
    x = 1,382.88

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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.