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Finding the Fourth Proportional to 3,422.37, 4,722.86 and 1,850.46

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Solution

The fourth proportional to 3,422.37, 4,722.86 and 1,850.46 is: 2,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.37 : 4,722.86 = 1,850.46 : x
  2. Step 2: Convert to fraction form
    3,422.37/4,722.86 = 1,850.46/x
  3. Step 3: Cross multiply
    3,422.37x = 4,722.86 × 1,850.46
  4. Step 4: Simplify right side
    3,422.37x = 8,739,466.59
  5. Step 5: Solve for x
    x = 8,739,466.59/3,422.37
  6. Step 6: Final answer
    x = 2,553.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.