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Finding the Fourth Proportional to 1,990.75, 2,986.50 and 950.83

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Solution

The fourth proportional to 1,990.75, 2,986.50 and 950.83 is: 1,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.75 : 2,986.50 = 950.83 : x
  2. Step 2: Convert to fraction form
    1,990.75/2,986.50 = 950.83/x
  3. Step 3: Cross multiply
    1,990.75x = 2,986.50 × 950.83
  4. Step 4: Simplify right side
    1,990.75x = 2,839,653.80
  5. Step 5: Solve for x
    x = 2,839,653.80/1,990.75
  6. Step 6: Final answer
    x = 1,426.42

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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.