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Finding the Fourth Proportional to 2,724.05, 4,086.21 and 776.41

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Solution

The fourth proportional to 2,724.05, 4,086.21 and 776.41 is: 1,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.05 : 4,086.21 = 776.41 : x
  2. Step 2: Convert to fraction form
    2,724.05/4,086.21 = 776.41/x
  3. Step 3: Cross multiply
    2,724.05x = 4,086.21 × 776.41
  4. Step 4: Simplify right side
    2,724.05x = 3,172,574.31
  5. Step 5: Solve for x
    x = 3,172,574.31/2,724.05
  6. Step 6: Final answer
    x = 1,164.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.