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Finding the Fourth Proportional to 2,724.47, 4,086.86 and 776.82

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Solution

The fourth proportional to 2,724.47, 4,086.86 and 776.82 is: 1,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.47 : 4,086.86 = 776.82 : x
  2. Step 2: Convert to fraction form
    2,724.47/4,086.86 = 776.82/x
  3. Step 3: Cross multiply
    2,724.47x = 4,086.86 × 776.82
  4. Step 4: Simplify right side
    2,724.47x = 3,174,766.03
  5. Step 5: Solve for x
    x = 3,174,766.03/2,724.47
  6. Step 6: Final answer
    x = 1,165.28

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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.