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Finding the Fourth Proportional to 1,928.18, 2,892.72 and 629.75

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Solution

The fourth proportional to 1,928.18, 2,892.72 and 629.75 is: 944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.18 : 2,892.72 = 629.75 : x
  2. Step 2: Convert to fraction form
    1,928.18/2,892.72 = 629.75/x
  3. Step 3: Cross multiply
    1,928.18x = 2,892.72 × 629.75
  4. Step 4: Simplify right side
    1,928.18x = 1,821,690.42
  5. Step 5: Solve for x
    x = 1,821,690.42/1,928.18
  6. Step 6: Final answer
    x = 944.77

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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.