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Finding the Fourth Proportional to 2,530.75, 3,796.24 and 775.63

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Solution

The fourth proportional to 2,530.75, 3,796.24 and 775.63 is: 1,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.75 : 3,796.24 = 775.63 : x
  2. Step 2: Convert to fraction form
    2,530.75/3,796.24 = 775.63/x
  3. Step 3: Cross multiply
    2,530.75x = 3,796.24 × 775.63
  4. Step 4: Simplify right side
    2,530.75x = 2,944,458.65
  5. Step 5: Solve for x
    x = 2,944,458.65/2,530.75
  6. Step 6: Final answer
    x = 1,163.47

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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.