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Finding the Fourth Proportional to 2,299.92, 3,449.99 and 656.58

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Solution

The fourth proportional to 2,299.92, 3,449.99 and 656.58 is: 984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.92 : 3,449.99 = 656.58 : x
  2. Step 2: Convert to fraction form
    2,299.92/3,449.99 = 656.58/x
  3. Step 3: Cross multiply
    2,299.92x = 3,449.99 × 656.58
  4. Step 4: Simplify right side
    2,299.92x = 2,265,194.43
  5. Step 5: Solve for x
    x = 2,265,194.43/2,299.92
  6. Step 6: Final answer
    x = 984.90

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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.