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Finding the Fourth Proportional to 2,101.05, 3,149.26 and 867.79

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Solution

The fourth proportional to 2,101.05, 3,149.26 and 867.79 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.05 : 3,149.26 = 867.79 : x
  2. Step 2: Convert to fraction form
    2,101.05/3,149.26 = 867.79/x
  3. Step 3: Cross multiply
    2,101.05x = 3,149.26 × 867.79
  4. Step 4: Simplify right side
    2,101.05x = 2,732,896.34
  5. Step 5: Solve for x
    x = 2,732,896.34/2,101.05
  6. Step 6: Final answer
    x = 1,300.73

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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.