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Finding the Fourth Proportional to 2,154.62, 3,231.99 and 767.93

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Solution

The fourth proportional to 2,154.62, 3,231.99 and 767.93 is: 1,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.62 : 3,231.99 = 767.93 : x
  2. Step 2: Convert to fraction form
    2,154.62/3,231.99 = 767.93/x
  3. Step 3: Cross multiply
    2,154.62x = 3,231.99 × 767.93
  4. Step 4: Simplify right side
    2,154.62x = 2,481,942.08
  5. Step 5: Solve for x
    x = 2,481,942.08/2,154.62
  6. Step 6: Final answer
    x = 1,151.92

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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.