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Finding the Fourth Proportional to 2,523.36, 3,782.46 and 1,352.64

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Solution

The fourth proportional to 2,523.36, 3,782.46 and 1,352.64 is: 2,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.36 : 3,782.46 = 1,352.64 : x
  2. Step 2: Convert to fraction form
    2,523.36/3,782.46 = 1,352.64/x
  3. Step 3: Cross multiply
    2,523.36x = 3,782.46 × 1,352.64
  4. Step 4: Simplify right side
    2,523.36x = 5,116,306.69
  5. Step 5: Solve for x
    x = 5,116,306.69/2,523.36
  6. Step 6: Final answer
    x = 2,027.58

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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.