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Finding the Fourth Proportional to 2,657.81, 3,661.94 and 1,982.75

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Solution

The fourth proportional to 2,657.81, 3,661.94 and 1,982.75 is: 2,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.81 : 3,661.94 = 1,982.75 : x
  2. Step 2: Convert to fraction form
    2,657.81/3,661.94 = 1,982.75/x
  3. Step 3: Cross multiply
    2,657.81x = 3,661.94 × 1,982.75
  4. Step 4: Simplify right side
    2,657.81x = 7,260,698.18
  5. Step 5: Solve for x
    x = 7,260,698.18/2,657.81
  6. Step 6: Final answer
    x = 2,731.83

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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.