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Finding the Fourth Proportional to 1,928.28, 2,892.72 and 629.46

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Solution

The fourth proportional to 1,928.28, 2,892.72 and 629.46 is: 944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.28 : 2,892.72 = 629.46 : x
  2. Step 2: Convert to fraction form
    1,928.28/2,892.72 = 629.46/x
  3. Step 3: Cross multiply
    1,928.28x = 2,892.72 × 629.46
  4. Step 4: Simplify right side
    1,928.28x = 1,820,851.53
  5. Step 5: Solve for x
    x = 1,820,851.53/1,928.28
  6. Step 6: Final answer
    x = 944.29

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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.