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Finding the Fourth Proportional to 3,099.78, 4,649.42 and 2,011

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Solution

The fourth proportional to 3,099.78, 4,649.42 and 2,011 is: 3,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.78 : 4,649.42 = 2,011 : x
  2. Step 2: Convert to fraction form
    3,099.78/4,649.42 = 2,011/x
  3. Step 3: Cross multiply
    3,099.78x = 4,649.42 × 2,011
  4. Step 4: Simplify right side
    3,099.78x = 9,349,983.62
  5. Step 5: Solve for x
    x = 9,349,983.62/3,099.78
  6. Step 6: Final answer
    x = 3,016.34

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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.