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Finding the Fourth Proportional to 2,155.33, 3,233.30 and 768.25

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Solution

The fourth proportional to 2,155.33, 3,233.30 and 768.25 is: 1,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.33 : 3,233.30 = 768.25 : x
  2. Step 2: Convert to fraction form
    2,155.33/3,233.30 = 768.25/x
  3. Step 3: Cross multiply
    2,155.33x = 3,233.30 × 768.25
  4. Step 4: Simplify right side
    2,155.33x = 2,483,982.73
  5. Step 5: Solve for x
    x = 2,483,982.73/2,155.33
  6. Step 6: Final answer
    x = 1,152.48

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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.