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Finding the Fourth Proportional to 1,928, 2,892.14 and 773.75

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Solution

The fourth proportional to 1,928, 2,892.14 and 773.75 is: 1,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928 : 2,892.14 = 773.75 : x
  2. Step 2: Convert to fraction form
    1,928/2,892.14 = 773.75/x
  3. Step 3: Cross multiply
    1,928x = 2,892.14 × 773.75
  4. Step 4: Simplify right side
    1,928x = 2,237,789.46
  5. Step 5: Solve for x
    x = 2,237,789.46/1,928
  6. Step 6: Final answer
    x = 1,160.68

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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.