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Finding the Fourth Proportional to 1,928.31, 2,892.43 and 629.78

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Solution

The fourth proportional to 1,928.31, 2,892.43 and 629.78 is: 944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.31 : 2,892.43 = 629.78 : x
  2. Step 2: Convert to fraction form
    1,928.31/2,892.43 = 629.78/x
  3. Step 3: Cross multiply
    1,928.31x = 2,892.43 × 629.78
  4. Step 4: Simplify right side
    1,928.31x = 1,821,607.07
  5. Step 5: Solve for x
    x = 1,821,607.07/1,928.31
  6. Step 6: Final answer
    x = 944.66

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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.