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Finding the Fourth Proportional to 2,099.45, 3,146.84 and 865.37

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Solution

The fourth proportional to 2,099.45, 3,146.84 and 865.37 is: 1,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.45 : 3,146.84 = 865.37 : x
  2. Step 2: Convert to fraction form
    2,099.45/3,146.84 = 865.37/x
  3. Step 3: Cross multiply
    2,099.45x = 3,146.84 × 865.37
  4. Step 4: Simplify right side
    2,099.45x = 2,723,176.60
  5. Step 5: Solve for x
    x = 2,723,176.60/2,099.45
  6. Step 6: Final answer
    x = 1,297.09

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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.