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Finding the Fourth Proportional to 1,928.24, 2,892.08 and 629.56

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Solution

The fourth proportional to 1,928.24, 2,892.08 and 629.56 is: 944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.24 : 2,892.08 = 629.56 : x
  2. Step 2: Convert to fraction form
    1,928.24/2,892.08 = 629.56/x
  3. Step 3: Cross multiply
    1,928.24x = 2,892.08 × 629.56
  4. Step 4: Simplify right side
    1,928.24x = 1,820,737.88
  5. Step 5: Solve for x
    x = 1,820,737.88/1,928.24
  6. Step 6: Final answer
    x = 944.25

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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.