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Finding the Fourth Proportional to 2,628.97, 3,942.37 and 984.67

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Solution

The fourth proportional to 2,628.97, 3,942.37 and 984.67 is: 1,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.97 : 3,942.37 = 984.67 : x
  2. Step 2: Convert to fraction form
    2,628.97/3,942.37 = 984.67/x
  3. Step 3: Cross multiply
    2,628.97x = 3,942.37 × 984.67
  4. Step 4: Simplify right side
    2,628.97x = 3,881,924.84
  5. Step 5: Solve for x
    x = 3,881,924.84/2,628.97
  6. Step 6: Final answer
    x = 1,476.60

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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.