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Finding the Fourth Proportional to 1,879.24, 2,819.46 and 905.44

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Solution

The fourth proportional to 1,879.24, 2,819.46 and 905.44 is: 1,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.24 : 2,819.46 = 905.44 : x
  2. Step 2: Convert to fraction form
    1,879.24/2,819.46 = 905.44/x
  3. Step 3: Cross multiply
    1,879.24x = 2,819.46 × 905.44
  4. Step 4: Simplify right side
    1,879.24x = 2,552,851.86
  5. Step 5: Solve for x
    x = 2,552,851.86/1,879.24
  6. Step 6: Final answer
    x = 1,358.45

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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.