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Finding the Fourth Proportional to 1,928.07, 2,892.51 and 629.44

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Solution

The fourth proportional to 1,928.07, 2,892.51 and 629.44 is: 944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.07 : 2,892.51 = 629.44 : x
  2. Step 2: Convert to fraction form
    1,928.07/2,892.51 = 629.44/x
  3. Step 3: Cross multiply
    1,928.07x = 2,892.51 × 629.44
  4. Step 4: Simplify right side
    1,928.07x = 1,820,654.26
  5. Step 5: Solve for x
    x = 1,820,654.26/1,928.07
  6. Step 6: Final answer
    x = 944.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.