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Finding the Fourth Proportional to 3,378.27, 4,661.27 and 1,961.14

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Solution

The fourth proportional to 3,378.27, 4,661.27 and 1,961.14 is: 2,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.27 : 4,661.27 = 1,961.14 : x
  2. Step 2: Convert to fraction form
    3,378.27/4,661.27 = 1,961.14/x
  3. Step 3: Cross multiply
    3,378.27x = 4,661.27 × 1,961.14
  4. Step 4: Simplify right side
    3,378.27x = 9,141,403.05
  5. Step 5: Solve for x
    x = 9,141,403.05/3,378.27
  6. Step 6: Final answer
    x = 2,705.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.