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Finding the Fourth Proportional to 2,156.80, 3,233.68 and 839.54

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Solution

The fourth proportional to 2,156.80, 3,233.68 and 839.54 is: 1,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.80 : 3,233.68 = 839.54 : x
  2. Step 2: Convert to fraction form
    2,156.80/3,233.68 = 839.54/x
  3. Step 3: Cross multiply
    2,156.80x = 3,233.68 × 839.54
  4. Step 4: Simplify right side
    2,156.80x = 2,714,785.44
  5. Step 5: Solve for x
    x = 2,714,785.44/2,156.80
  6. Step 6: Final answer
    x = 1,258.71

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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.