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Finding the Fourth Proportional to 2,150.40, 3,223.74 and 1,282.90

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Solution

The fourth proportional to 2,150.40, 3,223.74 and 1,282.90 is: 1,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.40 : 3,223.74 = 1,282.90 : x
  2. Step 2: Convert to fraction form
    2,150.40/3,223.74 = 1,282.90/x
  3. Step 3: Cross multiply
    2,150.40x = 3,223.74 × 1,282.90
  4. Step 4: Simplify right side
    2,150.40x = 4,135,736.05
  5. Step 5: Solve for x
    x = 4,135,736.05/2,150.40
  6. Step 6: Final answer
    x = 1,923.24

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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.