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Finding the Fourth Proportional to 2,155.33, 3,230.28 and 921.28

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Solution

The fourth proportional to 2,155.33, 3,230.28 and 921.28 is: 1,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.33 : 3,230.28 = 921.28 : x
  2. Step 2: Convert to fraction form
    2,155.33/3,230.28 = 921.28/x
  3. Step 3: Cross multiply
    2,155.33x = 3,230.28 × 921.28
  4. Step 4: Simplify right side
    2,155.33x = 2,975,992.36
  5. Step 5: Solve for x
    x = 2,975,992.36/2,155.33
  6. Step 6: Final answer
    x = 1,380.76

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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.