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Finding the Fourth Proportional to 2,828.80, 4,249.60 and 1,964.80

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Solution

The fourth proportional to 2,828.80, 4,249.60 and 1,964.80 is: 2,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.80 : 4,249.60 = 1,964.80 : x
  2. Step 2: Convert to fraction form
    2,828.80/4,249.60 = 1,964.80/x
  3. Step 3: Cross multiply
    2,828.80x = 4,249.60 × 1,964.80
  4. Step 4: Simplify right side
    2,828.80x = 8,349,614.08
  5. Step 5: Solve for x
    x = 8,349,614.08/2,828.80
  6. Step 6: Final answer
    x = 2,951.65

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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.