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Finding the Fourth Proportional to 2,530.88, 3,796.58 and 775.87

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Solution

The fourth proportional to 2,530.88, 3,796.58 and 775.87 is: 1,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.88 : 3,796.58 = 775.87 : x
  2. Step 2: Convert to fraction form
    2,530.88/3,796.58 = 775.87/x
  3. Step 3: Cross multiply
    2,530.88x = 3,796.58 × 775.87
  4. Step 4: Simplify right side
    2,530.88x = 2,945,652.52
  5. Step 5: Solve for x
    x = 2,945,652.52/2,530.88
  6. Step 6: Final answer
    x = 1,163.88

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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.