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Finding the Fourth Proportional to 2,071.75, 3,107.60 and 839.15

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Solution

The fourth proportional to 2,071.75, 3,107.60 and 839.15 is: 1,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.75 : 3,107.60 = 839.15 : x
  2. Step 2: Convert to fraction form
    2,071.75/3,107.60 = 839.15/x
  3. Step 3: Cross multiply
    2,071.75x = 3,107.60 × 839.15
  4. Step 4: Simplify right side
    2,071.75x = 2,607,742.54
  5. Step 5: Solve for x
    x = 2,607,742.54/2,071.75
  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.