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Finding the Fourth Proportional to 2,083.40, 3,125.46 and 851.48

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Solution

The fourth proportional to 2,083.40, 3,125.46 and 851.48 is: 1,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.40 : 3,125.46 = 851.48 : x
  2. Step 2: Convert to fraction form
    2,083.40/3,125.46 = 851.48/x
  3. Step 3: Cross multiply
    2,083.40x = 3,125.46 × 851.48
  4. Step 4: Simplify right side
    2,083.40x = 2,661,266.68
  5. Step 5: Solve for x
    x = 2,661,266.68/2,083.40
  6. Step 6: Final answer
    x = 1,277.37

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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.