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Finding the Fourth Proportional to 2,296.43, 3,436.41 and 1,989.32

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Solution

The fourth proportional to 2,296.43, 3,436.41 and 1,989.32 is: 2,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.43 : 3,436.41 = 1,989.32 : x
  2. Step 2: Convert to fraction form
    2,296.43/3,436.41 = 1,989.32/x
  3. Step 3: Cross multiply
    2,296.43x = 3,436.41 × 1,989.32
  4. Step 4: Simplify right side
    2,296.43x = 6,836,119.14
  5. Step 5: Solve for x
    x = 6,836,119.14/2,296.43
  6. Step 6: Final answer
    x = 2,976.85

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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.