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Finding the Fourth Proportional to 2,550.29, 3,820.53 and 1,964.40

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Solution

The fourth proportional to 2,550.29, 3,820.53 and 1,964.40 is: 2,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.29 : 3,820.53 = 1,964.40 : x
  2. Step 2: Convert to fraction form
    2,550.29/3,820.53 = 1,964.40/x
  3. Step 3: Cross multiply
    2,550.29x = 3,820.53 × 1,964.40
  4. Step 4: Simplify right side
    2,550.29x = 7,505,042.17
  5. Step 5: Solve for x
    x = 7,505,042.17/2,550.29
  6. Step 6: Final answer
    x = 2,942.82

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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.