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Finding the Fourth Proportional to 1,926.97, 2,890.22 and 830.43

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Solution

The fourth proportional to 1,926.97, 2,890.22 and 830.43 is: 1,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.97 : 2,890.22 = 830.43 : x
  2. Step 2: Convert to fraction form
    1,926.97/2,890.22 = 830.43/x
  3. Step 3: Cross multiply
    1,926.97x = 2,890.22 × 830.43
  4. Step 4: Simplify right side
    1,926.97x = 2,400,121.24
  5. Step 5: Solve for x
    x = 2,400,121.24/1,926.97
  6. Step 6: Final answer
    x = 1,245.54

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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.