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Finding the Fourth Proportional to 2,062.98, 3,094.85 and 676.39

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Solution

The fourth proportional to 2,062.98, 3,094.85 and 676.39 is: 1,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.98 : 3,094.85 = 676.39 : x
  2. Step 2: Convert to fraction form
    2,062.98/3,094.85 = 676.39/x
  3. Step 3: Cross multiply
    2,062.98x = 3,094.85 × 676.39
  4. Step 4: Simplify right side
    2,062.98x = 2,093,332.15
  5. Step 5: Solve for x
    x = 2,093,332.15/2,062.98
  6. Step 6: Final answer
    x = 1,014.71

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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.