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Finding the Fourth Proportional to 2,071.33, 3,106.97 and 838.41

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Solution

The fourth proportional to 2,071.33, 3,106.97 and 838.41 is: 1,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.33 : 3,106.97 = 838.41 : x
  2. Step 2: Convert to fraction form
    2,071.33/3,106.97 = 838.41/x
  3. Step 3: Cross multiply
    2,071.33x = 3,106.97 × 838.41
  4. Step 4: Simplify right side
    2,071.33x = 2,604,914.72
  5. Step 5: Solve for x
    x = 2,604,914.72/2,071.33
  6. Step 6: Final answer
    x = 1,257.60

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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.