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Finding the Fourth Proportional to 2,523.89, 3,785.60 and 674.94

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Solution

The fourth proportional to 2,523.89, 3,785.60 and 674.94 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.89 : 3,785.60 = 674.94 : x
  2. Step 2: Convert to fraction form
    2,523.89/3,785.60 = 674.94/x
  3. Step 3: Cross multiply
    2,523.89x = 3,785.60 × 674.94
  4. Step 4: Simplify right side
    2,523.89x = 2,555,030.56
  5. Step 5: Solve for x
    x = 2,555,030.56/2,523.89
  6. Step 6: Final answer
    x = 1,012.34

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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.