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Finding the Fourth Proportional to 3,185.93, 4,778.87 and 2,245.01

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Solution

The fourth proportional to 3,185.93, 4,778.87 and 2,245.01 is: 3,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.93 : 4,778.87 = 2,245.01 : x
  2. Step 2: Convert to fraction form
    3,185.93/4,778.87 = 2,245.01/x
  3. Step 3: Cross multiply
    3,185.93x = 4,778.87 × 2,245.01
  4. Step 4: Simplify right side
    3,185.93x = 10,728,628.50
  5. Step 5: Solve for x
    x = 10,728,628.50/3,185.93
  6. Step 6: Final answer
    x = 3,367.50

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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.