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Finding the Fourth Proportional to 2,091.44, 3,137.70 and 792.92

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Solution

The fourth proportional to 2,091.44, 3,137.70 and 792.92 is: 1,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.44 : 3,137.70 = 792.92 : x
  2. Step 2: Convert to fraction form
    2,091.44/3,137.70 = 792.92/x
  3. Step 3: Cross multiply
    2,091.44x = 3,137.70 × 792.92
  4. Step 4: Simplify right side
    2,091.44x = 2,487,945.08
  5. Step 5: Solve for x
    x = 2,487,945.08/2,091.44
  6. Step 6: Final answer
    x = 1,189.58

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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.