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Finding the Fourth Proportional to 1,879.39, 2,594.29 and 1,682.56

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Solution

The fourth proportional to 1,879.39, 2,594.29 and 1,682.56 is: 2,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.39 : 2,594.29 = 1,682.56 : x
  2. Step 2: Convert to fraction form
    1,879.39/2,594.29 = 1,682.56/x
  3. Step 3: Cross multiply
    1,879.39x = 2,594.29 × 1,682.56
  4. Step 4: Simplify right side
    1,879.39x = 4,365,048.58
  5. Step 5: Solve for x
    x = 4,365,048.58/1,879.39
  6. Step 6: Final answer
    x = 2,322.59

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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.