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Finding the Fourth Proportional to 2,008.42, 3,013.00 and 775.73

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Solution

The fourth proportional to 2,008.42, 3,013.00 and 775.73 is: 1,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.42 : 3,013.00 = 775.73 : x
  2. Step 2: Convert to fraction form
    2,008.42/3,013.00 = 775.73/x
  3. Step 3: Cross multiply
    2,008.42x = 3,013.00 × 775.73
  4. Step 4: Simplify right side
    2,008.42x = 2,337,280.08
  5. Step 5: Solve for x
    x = 2,337,280.08/2,008.42
  6. Step 6: Final answer
    x = 1,163.74

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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.