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Finding the Fourth Proportional to 2,101.36, 3,149.72 and 868.09

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Solution

The fourth proportional to 2,101.36, 3,149.72 and 868.09 is: 1,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.36 : 3,149.72 = 868.09 : x
  2. Step 2: Convert to fraction form
    2,101.36/3,149.72 = 868.09/x
  3. Step 3: Cross multiply
    2,101.36x = 3,149.72 × 868.09
  4. Step 4: Simplify right side
    2,101.36x = 2,734,240.43
  5. Step 5: Solve for x
    x = 2,734,240.43/2,101.36
  6. Step 6: Final answer
    x = 1,301.18

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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.