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Finding the Fourth Proportional to 2,523.80, 3,785.12 and 963.23

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Solution

The fourth proportional to 2,523.80, 3,785.12 and 963.23 is: 1,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.80 : 3,785.12 = 963.23 : x
  2. Step 2: Convert to fraction form
    2,523.80/3,785.12 = 963.23/x
  3. Step 3: Cross multiply
    2,523.80x = 3,785.12 × 963.23
  4. Step 4: Simplify right side
    2,523.80x = 3,645,945.78
  5. Step 5: Solve for x
    x = 3,645,945.78/2,523.80
  6. Step 6: Final answer
    x = 1,444.62

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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.