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Finding the Fourth Proportional to 1,828.67, 2,743.02 and 1,179.86

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Solution

The fourth proportional to 1,828.67, 2,743.02 and 1,179.86 is: 1,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.67 : 2,743.02 = 1,179.86 : x
  2. Step 2: Convert to fraction form
    1,828.67/2,743.02 = 1,179.86/x
  3. Step 3: Cross multiply
    1,828.67x = 2,743.02 × 1,179.86
  4. Step 4: Simplify right side
    1,828.67x = 3,236,365.86
  5. Step 5: Solve for x
    x = 3,236,365.86/1,828.67
  6. Step 6: Final answer
    x = 1,769.80

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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.