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Finding the Fourth Proportional to 1,879.51, 2,819.44 and 492.83

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Solution

The fourth proportional to 1,879.51, 2,819.44 and 492.83 is: 739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.51 : 2,819.44 = 492.83 : x
  2. Step 2: Convert to fraction form
    1,879.51/2,819.44 = 492.83/x
  3. Step 3: Cross multiply
    1,879.51x = 2,819.44 × 492.83
  4. Step 4: Simplify right side
    1,879.51x = 1,389,504.62
  5. Step 5: Solve for x
    x = 1,389,504.62/1,879.51
  6. Step 6: Final answer
    x = 739.29

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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.