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Finding the Fourth Proportional to 2,284.08, 3,426.39 and 724.16

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Solution

The fourth proportional to 2,284.08, 3,426.39 and 724.16 is: 1,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.08 : 3,426.39 = 724.16 : x
  2. Step 2: Convert to fraction form
    2,284.08/3,426.39 = 724.16/x
  3. Step 3: Cross multiply
    2,284.08x = 3,426.39 × 724.16
  4. Step 4: Simplify right side
    2,284.08x = 2,481,237.45
  5. Step 5: Solve for x
    x = 2,481,237.45/2,284.08
  6. Step 6: Final answer
    x = 1,086.32

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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.