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Finding the Fourth Proportional to 3,154.82, 4,732.91 and 963.48

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Solution

The fourth proportional to 3,154.82, 4,732.91 and 963.48 is: 1,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.82 : 4,732.91 = 963.48 : x
  2. Step 2: Convert to fraction form
    3,154.82/4,732.91 = 963.48/x
  3. Step 3: Cross multiply
    3,154.82x = 4,732.91 × 963.48
  4. Step 4: Simplify right side
    3,154.82x = 4,560,066.54
  5. Step 5: Solve for x
    x = 4,560,066.54/3,154.82
  6. Step 6: Final answer
    x = 1,445.43

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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.