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Finding the Fourth Proportional to 1,926.73, 2,890.50 and 628.10

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Solution

The fourth proportional to 1,926.73, 2,890.50 and 628.10 is: 942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.73 : 2,890.50 = 628.10 : x
  2. Step 2: Convert to fraction form
    1,926.73/2,890.50 = 628.10/x
  3. Step 3: Cross multiply
    1,926.73x = 2,890.50 × 628.10
  4. Step 4: Simplify right side
    1,926.73x = 1,815,523.05
  5. Step 5: Solve for x
    x = 1,815,523.05/1,926.73
  6. Step 6: Final answer
    x = 942.28

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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.