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Finding the Fourth Proportional to 3,245.44, 4,866.90 and 2,011

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Solution

The fourth proportional to 3,245.44, 4,866.90 and 2,011 is: 3,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.44 : 4,866.90 = 2,011 : x
  2. Step 2: Convert to fraction form
    3,245.44/4,866.90 = 2,011/x
  3. Step 3: Cross multiply
    3,245.44x = 4,866.90 × 2,011
  4. Step 4: Simplify right side
    3,245.44x = 9,787,335.90
  5. Step 5: Solve for x
    x = 9,787,335.90/3,245.44
  6. Step 6: Final answer
    x = 3,015.72

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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.