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Finding the Fourth Proportional to 2,662.97, 3,992.02 and 930.65

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Solution

The fourth proportional to 2,662.97, 3,992.02 and 930.65 is: 1,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.97 : 3,992.02 = 930.65 : x
  2. Step 2: Convert to fraction form
    2,662.97/3,992.02 = 930.65/x
  3. Step 3: Cross multiply
    2,662.97x = 3,992.02 × 930.65
  4. Step 4: Simplify right side
    2,662.97x = 3,715,151.13
  5. Step 5: Solve for x
    x = 3,715,151.13/2,662.97
  6. Step 6: Final answer
    x = 1,395.12

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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.