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Finding the Fourth Proportional to 1,924.43, 2,879.42 and 1,141.56

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Solution

The fourth proportional to 1,924.43, 2,879.42 and 1,141.56 is: 1,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.43 : 2,879.42 = 1,141.56 : x
  2. Step 2: Convert to fraction form
    1,924.43/2,879.42 = 1,141.56/x
  3. Step 3: Cross multiply
    1,924.43x = 2,879.42 × 1,141.56
  4. Step 4: Simplify right side
    1,924.43x = 3,287,024.99
  5. Step 5: Solve for x
    x = 3,287,024.99/1,924.43
  6. Step 6: Final answer
    x = 1,708.06

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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.