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Finding the Fourth Proportional to 1,990.14, 2,986.46 and 757.65

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Solution

The fourth proportional to 1,990.14, 2,986.46 and 757.65 is: 1,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.14 : 2,986.46 = 757.65 : x
  2. Step 2: Convert to fraction form
    1,990.14/2,986.46 = 757.65/x
  3. Step 3: Cross multiply
    1,990.14x = 2,986.46 × 757.65
  4. Step 4: Simplify right side
    1,990.14x = 2,262,687.63
  5. Step 5: Solve for x
    x = 2,262,687.63/1,990.14
  6. Step 6: Final answer
    x = 1,136.95

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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.