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Finding the Fourth Proportional to 2,099.62, 3,149.81 and 866.36

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Solution

The fourth proportional to 2,099.62, 3,149.81 and 866.36 is: 1,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.62 : 3,149.81 = 866.36 : x
  2. Step 2: Convert to fraction form
    2,099.62/3,149.81 = 866.36/x
  3. Step 3: Cross multiply
    2,099.62x = 3,149.81 × 866.36
  4. Step 4: Simplify right side
    2,099.62x = 2,728,851.48
  5. Step 5: Solve for x
    x = 2,728,851.48/2,099.62
  6. Step 6: Final answer
    x = 1,299.69

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1.5x scale

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.