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Finding the Fourth Proportional to 2,764, 4,146.12 and 816.36

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Solution

The fourth proportional to 2,764, 4,146.12 and 816.36 is: 1,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764 : 4,146.12 = 816.36 : x
  2. Step 2: Convert to fraction form
    2,764/4,146.12 = 816.36/x
  3. Step 3: Cross multiply
    2,764x = 4,146.12 × 816.36
  4. Step 4: Simplify right side
    2,764x = 3,384,726.52
  5. Step 5: Solve for x
    x = 3,384,726.52/2,764
  6. Step 6: Final answer
    x = 1,224.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.