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Finding the Fourth Proportional to 1,961.12, 2,941.72 and 500.28

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Solution

The fourth proportional to 1,961.12, 2,941.72 and 500.28 is: 750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.12 : 2,941.72 = 500.28 : x
  2. Step 2: Convert to fraction form
    1,961.12/2,941.72 = 500.28/x
  3. Step 3: Cross multiply
    1,961.12x = 2,941.72 × 500.28
  4. Step 4: Simplify right side
    1,961.12x = 1,471,682.43
  5. Step 5: Solve for x
    x = 1,471,682.43/1,961.12
  6. Step 6: Final answer
    x = 750.43

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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.