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Finding the Fourth Proportional to 2,155.68, 3,232.79 and 839.33

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Solution

The fourth proportional to 2,155.68, 3,232.79 and 839.33 is: 1,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.68 : 3,232.79 = 839.33 : x
  2. Step 2: Convert to fraction form
    2,155.68/3,232.79 = 839.33/x
  3. Step 3: Cross multiply
    2,155.68x = 3,232.79 × 839.33
  4. Step 4: Simplify right side
    2,155.68x = 2,713,387.81
  5. Step 5: Solve for x
    x = 2,713,387.81/2,155.68
  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.