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Finding the Fourth Proportional to 2,724.24, 4,086.33 and 776.44

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Solution

The fourth proportional to 2,724.24, 4,086.33 and 776.44 is: 1,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.24 : 4,086.33 = 776.44 : x
  2. Step 2: Convert to fraction form
    2,724.24/4,086.33 = 776.44/x
  3. Step 3: Cross multiply
    2,724.24x = 4,086.33 × 776.44
  4. Step 4: Simplify right side
    2,724.24x = 3,172,790.07
  5. Step 5: Solve for x
    x = 3,172,790.07/2,724.24
  6. Step 6: Final answer
    x = 1,164.65

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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.