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Finding the Fourth Proportional to 2,062.83, 3,093.96 and 676.23

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Solution

The fourth proportional to 2,062.83, 3,093.96 and 676.23 is: 1,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.83 : 3,093.96 = 676.23 : x
  2. Step 2: Convert to fraction form
    2,062.83/3,093.96 = 676.23/x
  3. Step 3: Cross multiply
    2,062.83x = 3,093.96 × 676.23
  4. Step 4: Simplify right side
    2,062.83x = 2,092,228.57
  5. Step 5: Solve for x
    x = 2,092,228.57/2,062.83
  6. Step 6: Final answer
    x = 1,014.25

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1.5x scale

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.