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Finding the Fourth Proportional to 3,007.44, 4,150.32 and 1,828.56

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Solution

The fourth proportional to 3,007.44, 4,150.32 and 1,828.56 is: 2,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.44 : 4,150.32 = 1,828.56 : x
  2. Step 2: Convert to fraction form
    3,007.44/4,150.32 = 1,828.56/x
  3. Step 3: Cross multiply
    3,007.44x = 4,150.32 × 1,828.56
  4. Step 4: Simplify right side
    3,007.44x = 7,589,109.14
  5. Step 5: Solve for x
    x = 7,589,109.14/3,007.44
  6. Step 6: Final answer
    x = 2,523.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.