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Finding the Fourth Proportional to 2,234.40, 3,346.80 and 1,991.20

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Solution

The fourth proportional to 2,234.40, 3,346.80 and 1,991.20 is: 2,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.40 : 3,346.80 = 1,991.20 : x
  2. Step 2: Convert to fraction form
    2,234.40/3,346.80 = 1,991.20/x
  3. Step 3: Cross multiply
    2,234.40x = 3,346.80 × 1,991.20
  4. Step 4: Simplify right side
    2,234.40x = 6,664,148.16
  5. Step 5: Solve for x
    x = 6,664,148.16/2,234.40
  6. Step 6: Final answer
    x = 2,982.52

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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.