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Finding the Fourth Proportional to 2,286.57, 3,429.83 and 555.21

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Solution

The fourth proportional to 2,286.57, 3,429.83 and 555.21 is: 832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.57 : 3,429.83 = 555.21 : x
  2. Step 2: Convert to fraction form
    2,286.57/3,429.83 = 555.21/x
  3. Step 3: Cross multiply
    2,286.57x = 3,429.83 × 555.21
  4. Step 4: Simplify right side
    2,286.57x = 1,904,273.14
  5. Step 5: Solve for x
    x = 1,904,273.14/2,286.57
  6. Step 6: Final answer
    x = 832.81

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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.