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Finding the Fourth Proportional to 2,523.57, 3,785.42 and 674.67

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Solution

The fourth proportional to 2,523.57, 3,785.42 and 674.67 is: 1,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.57 : 3,785.42 = 674.67 : x
  2. Step 2: Convert to fraction form
    2,523.57/3,785.42 = 674.67/x
  3. Step 3: Cross multiply
    2,523.57x = 3,785.42 × 674.67
  4. Step 4: Simplify right side
    2,523.57x = 2,553,909.31
  5. Step 5: Solve for x
    x = 2,553,909.31/2,523.57
  6. Step 6: Final answer
    x = 1,012.02

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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.