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Finding the Fourth Proportional to 2,299.46, 3,449.19 and 568.09

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Solution

The fourth proportional to 2,299.46, 3,449.19 and 568.09 is: 852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.46 : 3,449.19 = 568.09 : x
  2. Step 2: Convert to fraction form
    2,299.46/3,449.19 = 568.09/x
  3. Step 3: Cross multiply
    2,299.46x = 3,449.19 × 568.09
  4. Step 4: Simplify right side
    2,299.46x = 1,959,433.10
  5. Step 5: Solve for x
    x = 1,959,433.10/2,299.46
  6. Step 6: Final answer
    x = 852.13

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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.