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Finding the Fourth Proportional to 2,724.19, 4,086.20 and 776.40

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Solution

The fourth proportional to 2,724.19, 4,086.20 and 776.40 is: 1,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.19 : 4,086.20 = 776.40 : x
  2. Step 2: Convert to fraction form
    2,724.19/4,086.20 = 776.40/x
  3. Step 3: Cross multiply
    2,724.19x = 4,086.20 × 776.40
  4. Step 4: Simplify right side
    2,724.19x = 3,172,525.68
  5. Step 5: Solve for x
    x = 3,172,525.68/2,724.19
  6. Step 6: Final answer
    x = 1,164.58

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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.