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Finding the Fourth Proportional to 1,961.46, 2,942.24 and 574.84

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Solution

The fourth proportional to 1,961.46, 2,942.24 and 574.84 is: 862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.46 : 2,942.24 = 574.84 : x
  2. Step 2: Convert to fraction form
    1,961.46/2,942.24 = 574.84/x
  3. Step 3: Cross multiply
    1,961.46x = 2,942.24 × 574.84
  4. Step 4: Simplify right side
    1,961.46x = 1,691,317.24
  5. Step 5: Solve for x
    x = 1,691,317.24/1,961.46
  6. Step 6: Final answer
    x = 862.27

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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.