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Finding the Fourth Proportional to 1,786.46, 2,467.09 and 1,472.78

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Solution

The fourth proportional to 1,786.46, 2,467.09 and 1,472.78 is: 2,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.46 : 2,467.09 = 1,472.78 : x
  2. Step 2: Convert to fraction form
    1,786.46/2,467.09 = 1,472.78/x
  3. Step 3: Cross multiply
    1,786.46x = 2,467.09 × 1,472.78
  4. Step 4: Simplify right side
    1,786.46x = 3,633,488.82
  5. Step 5: Solve for x
    x = 3,633,488.82/1,786.46
  6. Step 6: Final answer
    x = 2,033.91

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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.