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Finding the Fourth Proportional to 2,523.30, 3,783.16 and 963.38

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Solution

The fourth proportional to 2,523.30, 3,783.16 and 963.38 is: 1,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.30 : 3,783.16 = 963.38 : x
  2. Step 2: Convert to fraction form
    2,523.30/3,783.16 = 963.38/x
  3. Step 3: Cross multiply
    2,523.30x = 3,783.16 × 963.38
  4. Step 4: Simplify right side
    2,523.30x = 3,644,620.68
  5. Step 5: Solve for x
    x = 3,644,620.68/2,523.30
  6. Step 6: Final answer
    x = 1,444.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.