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Finding the Fourth Proportional to 2,091.81, 3,138.63 and 996.19

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Solution

The fourth proportional to 2,091.81, 3,138.63 and 996.19 is: 1,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.81 : 3,138.63 = 996.19 : x
  2. Step 2: Convert to fraction form
    2,091.81/3,138.63 = 996.19/x
  3. Step 3: Cross multiply
    2,091.81x = 3,138.63 × 996.19
  4. Step 4: Simplify right side
    2,091.81x = 3,126,671.82
  5. Step 5: Solve for x
    x = 3,126,671.82/2,091.81
  6. Step 6: Final answer
    x = 1,494.72

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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.