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Finding the Fourth Proportional to 2,099.74, 3,149.64 and 801.28

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Solution

The fourth proportional to 2,099.74, 3,149.64 and 801.28 is: 1,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.74 : 3,149.64 = 801.28 : x
  2. Step 2: Convert to fraction form
    2,099.74/3,149.64 = 801.28/x
  3. Step 3: Cross multiply
    2,099.74x = 3,149.64 × 801.28
  4. Step 4: Simplify right side
    2,099.74x = 2,523,743.54
  5. Step 5: Solve for x
    x = 2,523,743.54/2,099.74
  6. Step 6: Final answer
    x = 1,201.93

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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.