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Finding the Fourth Proportional to 1,879.41, 2,593.22 and 1,180.47

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Solution

The fourth proportional to 1,879.41, 2,593.22 and 1,180.47 is: 1,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.41 : 2,593.22 = 1,180.47 : x
  2. Step 2: Convert to fraction form
    1,879.41/2,593.22 = 1,180.47/x
  3. Step 3: Cross multiply
    1,879.41x = 2,593.22 × 1,180.47
  4. Step 4: Simplify right side
    1,879.41x = 3,061,218.41
  5. Step 5: Solve for x
    x = 3,061,218.41/1,879.41
  6. Step 6: Final answer
    x = 1,628.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.