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Finding the Fourth Proportional to 1,961.28, 2,941.52 and 574.26

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Solution

The fourth proportional to 1,961.28, 2,941.52 and 574.26 is: 861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.28 : 2,941.52 = 574.26 : x
  2. Step 2: Convert to fraction form
    1,961.28/2,941.52 = 574.26/x
  3. Step 3: Cross multiply
    1,961.28x = 2,941.52 × 574.26
  4. Step 4: Simplify right side
    1,961.28x = 1,689,183.37
  5. Step 5: Solve for x
    x = 1,689,183.37/1,961.28
  6. Step 6: Final answer
    x = 861.27

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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.