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Finding the Fourth Proportional to 2,021.27, 3,031.37 and 866.75

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Solution

The fourth proportional to 2,021.27, 3,031.37 and 866.75 is: 1,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.27 : 3,031.37 = 866.75 : x
  2. Step 2: Convert to fraction form
    2,021.27/3,031.37 = 866.75/x
  3. Step 3: Cross multiply
    2,021.27x = 3,031.37 × 866.75
  4. Step 4: Simplify right side
    2,021.27x = 2,627,435.61
  5. Step 5: Solve for x
    x = 2,627,435.61/2,021.27
  6. Step 6: Final answer
    x = 1,299.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.