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Finding the Fourth Proportional to 2,234.37, 3,347.90 and 2,149.05

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Solution

The fourth proportional to 2,234.37, 3,347.90 and 2,149.05 is: 3,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.37 : 3,347.90 = 2,149.05 : x
  2. Step 2: Convert to fraction form
    2,234.37/3,347.90 = 2,149.05/x
  3. Step 3: Cross multiply
    2,234.37x = 3,347.90 × 2,149.05
  4. Step 4: Simplify right side
    2,234.37x = 7,194,804.50
  5. Step 5: Solve for x
    x = 7,194,804.50/2,234.37
  6. Step 6: Final answer
    x = 3,220.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.