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Finding the Fourth Proportional to 2,071.06, 3,104.43 and 839.32

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Solution

The fourth proportional to 2,071.06, 3,104.43 and 839.32 is: 1,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.06 : 3,104.43 = 839.32 : x
  2. Step 2: Convert to fraction form
    2,071.06/3,104.43 = 839.32/x
  3. Step 3: Cross multiply
    2,071.06x = 3,104.43 × 839.32
  4. Step 4: Simplify right side
    2,071.06x = 2,605,610.19
  5. Step 5: Solve for x
    x = 2,605,610.19/2,071.06
  6. Step 6: Final answer
    x = 1,258.10

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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.