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Finding the Fourth Proportional to 2,071, 3,106.49 and 838.40

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Solution

The fourth proportional to 2,071, 3,106.49 and 838.40 is: 1,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071 : 3,106.49 = 838.40 : x
  2. Step 2: Convert to fraction form
    2,071/3,106.49 = 838.40/x
  3. Step 3: Cross multiply
    2,071x = 3,106.49 × 838.40
  4. Step 4: Simplify right side
    2,071x = 2,604,481.22
  5. Step 5: Solve for x
    x = 2,604,481.22/2,071
  6. Step 6: Final answer
    x = 1,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.