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Finding the Fourth Proportional to 2,300.09, 3,449.57 and 656.65

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Solution

The fourth proportional to 2,300.09, 3,449.57 and 656.65 is: 984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.09 : 3,449.57 = 656.65 : x
  2. Step 2: Convert to fraction form
    2,300.09/3,449.57 = 656.65/x
  3. Step 3: Cross multiply
    2,300.09x = 3,449.57 × 656.65
  4. Step 4: Simplify right side
    2,300.09x = 2,265,160.14
  5. Step 5: Solve for x
    x = 2,265,160.14/2,300.09
  6. Step 6: Final answer
    x = 984.81

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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.