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Finding the Fourth Proportional to 2,760.66, 4,141.62 and 911.79

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Solution

The fourth proportional to 2,760.66, 4,141.62 and 911.79 is: 1,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.66 : 4,141.62 = 911.79 : x
  2. Step 2: Convert to fraction form
    2,760.66/4,141.62 = 911.79/x
  3. Step 3: Cross multiply
    2,760.66x = 4,141.62 × 911.79
  4. Step 4: Simplify right side
    2,760.66x = 3,776,287.70
  5. Step 5: Solve for x
    x = 3,776,287.70/2,760.66
  6. Step 6: Final answer
    x = 1,367.89

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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.