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Finding the Fourth Proportional to 1,879.26, 2,819.12 and 580.83

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Solution

The fourth proportional to 1,879.26, 2,819.12 and 580.83 is: 871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.26 : 2,819.12 = 580.83 : x
  2. Step 2: Convert to fraction form
    1,879.26/2,819.12 = 580.83/x
  3. Step 3: Cross multiply
    1,879.26x = 2,819.12 × 580.83
  4. Step 4: Simplify right side
    1,879.26x = 1,637,426.57
  5. Step 5: Solve for x
    x = 1,637,426.57/1,879.26
  6. Step 6: Final answer
    x = 871.31

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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.