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Finding the Fourth Proportional to 2,299.60, 3,449.40 and 2,174.80

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Solution

The fourth proportional to 2,299.60, 3,449.40 and 2,174.80 is: 3,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.60 : 3,449.40 = 2,174.80 : x
  2. Step 2: Convert to fraction form
    2,299.60/3,449.40 = 2,174.80/x
  3. Step 3: Cross multiply
    2,299.60x = 3,449.40 × 2,174.80
  4. Step 4: Simplify right side
    2,299.60x = 7,501,755.12
  5. Step 5: Solve for x
    x = 7,501,755.12/2,299.60
  6. Step 6: Final answer
    x = 3,262.20

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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.