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Finding the Fourth Proportional to 2,071.58, 3,107.57 and 839.03

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Solution

The fourth proportional to 2,071.58, 3,107.57 and 839.03 is: 1,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.58 : 3,107.57 = 839.03 : x
  2. Step 2: Convert to fraction form
    2,071.58/3,107.57 = 839.03/x
  3. Step 3: Cross multiply
    2,071.58x = 3,107.57 × 839.03
  4. Step 4: Simplify right side
    2,071.58x = 2,607,324.72
  5. Step 5: Solve for x
    x = 2,607,324.72/2,071.58
  6. Step 6: Final answer
    x = 1,258.62

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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.