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Finding the Fourth Proportional to 3,256.43, 4,493.86 and 1,764.36

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Solution

The fourth proportional to 3,256.43, 4,493.86 and 1,764.36 is: 2,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.43 : 4,493.86 = 1,764.36 : x
  2. Step 2: Convert to fraction form
    3,256.43/4,493.86 = 1,764.36/x
  3. Step 3: Cross multiply
    3,256.43x = 4,493.86 × 1,764.36
  4. Step 4: Simplify right side
    3,256.43x = 7,928,786.83
  5. Step 5: Solve for x
    x = 7,928,786.83/3,256.43
  6. Step 6: Final answer
    x = 2,434.81

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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.