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Finding the Fourth Proportional to 2,828.50, 3,900.78 and 1,832.80

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Solution

The fourth proportional to 2,828.50, 3,900.78 and 1,832.80 is: 2,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.50 : 3,900.78 = 1,832.80 : x
  2. Step 2: Convert to fraction form
    2,828.50/3,900.78 = 1,832.80/x
  3. Step 3: Cross multiply
    2,828.50x = 3,900.78 × 1,832.80
  4. Step 4: Simplify right side
    2,828.50x = 7,149,349.58
  5. Step 5: Solve for x
    x = 7,149,349.58/2,828.50
  6. Step 6: Final answer
    x = 2,527.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.