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Finding the Fourth Proportional to 2,008.34, 3,013.02 and 775.42

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Solution

The fourth proportional to 2,008.34, 3,013.02 and 775.42 is: 1,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.34 : 3,013.02 = 775.42 : x
  2. Step 2: Convert to fraction form
    2,008.34/3,013.02 = 775.42/x
  3. Step 3: Cross multiply
    2,008.34x = 3,013.02 × 775.42
  4. Step 4: Simplify right side
    2,008.34x = 2,336,340.90
  5. Step 5: Solve for x
    x = 2,336,340.90/2,008.34
  6. Step 6: Final answer
    x = 1,163.32

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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.