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Finding the Fourth Proportional to 2,724.53, 4,086.36 and 776.28

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Solution

The fourth proportional to 2,724.53, 4,086.36 and 776.28 is: 1,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.53 : 4,086.36 = 776.28 : x
  2. Step 2: Convert to fraction form
    2,724.53/4,086.36 = 776.28/x
  3. Step 3: Cross multiply
    2,724.53x = 4,086.36 × 776.28
  4. Step 4: Simplify right side
    2,724.53x = 3,172,159.54
  5. Step 5: Solve for x
    x = 3,172,159.54/2,724.53
  6. Step 6: Final answer
    x = 1,164.29

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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.