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Finding the Fourth Proportional to 2,155.82, 3,233.19 and 839.12

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Solution

The fourth proportional to 2,155.82, 3,233.19 and 839.12 is: 1,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.82 : 3,233.19 = 839.12 : x
  2. Step 2: Convert to fraction form
    2,155.82/3,233.19 = 839.12/x
  3. Step 3: Cross multiply
    2,155.82x = 3,233.19 × 839.12
  4. Step 4: Simplify right side
    2,155.82x = 2,713,034.39
  5. Step 5: Solve for x
    x = 2,713,034.39/2,155.82
  6. Step 6: Final answer
    x = 1,258.47

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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.