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Finding the Fourth Proportional to 2,284.06, 3,426.60 and 724.15

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Solution

The fourth proportional to 2,284.06, 3,426.60 and 724.15 is: 1,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.06 : 3,426.60 = 724.15 : x
  2. Step 2: Convert to fraction form
    2,284.06/3,426.60 = 724.15/x
  3. Step 3: Cross multiply
    2,284.06x = 3,426.60 × 724.15
  4. Step 4: Simplify right side
    2,284.06x = 2,481,351.64
  5. Step 5: Solve for x
    x = 2,481,351.64/2,284.06
  6. Step 6: Final answer
    x = 1,086.38

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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.