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Finding the Fourth Proportional to 2,529.80, 3,794.72 and 774.82

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Solution

The fourth proportional to 2,529.80, 3,794.72 and 774.82 is: 1,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.80 : 3,794.72 = 774.82 : x
  2. Step 2: Convert to fraction form
    2,529.80/3,794.72 = 774.82/x
  3. Step 3: Cross multiply
    2,529.80x = 3,794.72 × 774.82
  4. Step 4: Simplify right side
    2,529.80x = 2,940,224.95
  5. Step 5: Solve for x
    x = 2,940,224.95/2,529.80
  6. Step 6: Final answer
    x = 1,162.24

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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.