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Finding the Fourth Proportional to 2,607.24, 3,910.86 and 1,828.73

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Solution

The fourth proportional to 2,607.24, 3,910.86 and 1,828.73 is: 2,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.24 : 3,910.86 = 1,828.73 : x
  2. Step 2: Convert to fraction form
    2,607.24/3,910.86 = 1,828.73/x
  3. Step 3: Cross multiply
    2,607.24x = 3,910.86 × 1,828.73
  4. Step 4: Simplify right side
    2,607.24x = 7,151,889.64
  5. Step 5: Solve for x
    x = 7,151,889.64/2,607.24
  6. Step 6: Final answer
    x = 2,743.09

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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.