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Finding the Fourth Proportional to 2,299.68, 3,453.12 and 2,040.48

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Solution

The fourth proportional to 2,299.68, 3,453.12 and 2,040.48 is: 3,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.68 : 3,453.12 = 2,040.48 : x
  2. Step 2: Convert to fraction form
    2,299.68/3,453.12 = 2,040.48/x
  3. Step 3: Cross multiply
    2,299.68x = 3,453.12 × 2,040.48
  4. Step 4: Simplify right side
    2,299.68x = 7,046,022.30
  5. Step 5: Solve for x
    x = 7,046,022.30/2,299.68
  6. Step 6: Final answer
    x = 3,063.91

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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.