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Finding the Fourth Proportional to 2,523.46, 3,784.18 and 1,485.56

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Solution

The fourth proportional to 2,523.46, 3,784.18 and 1,485.56 is: 2,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.46 : 3,784.18 = 1,485.56 : x
  2. Step 2: Convert to fraction form
    2,523.46/3,784.18 = 1,485.56/x
  3. Step 3: Cross multiply
    2,523.46x = 3,784.18 × 1,485.56
  4. Step 4: Simplify right side
    2,523.46x = 5,621,626.44
  5. Step 5: Solve for x
    x = 5,621,626.44/2,523.46
  6. Step 6: Final answer
    x = 2,227.75

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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.