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Finding the Fourth Proportional to 2,398.57, 3,309.80 and 1,336.23

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Solution

The fourth proportional to 2,398.57, 3,309.80 and 1,336.23 is: 1,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.57 : 3,309.80 = 1,336.23 : x
  2. Step 2: Convert to fraction form
    2,398.57/3,309.80 = 1,336.23/x
  3. Step 3: Cross multiply
    2,398.57x = 3,309.80 × 1,336.23
  4. Step 4: Simplify right side
    2,398.57x = 4,422,639.97
  5. Step 5: Solve for x
    x = 4,422,639.97/2,398.57
  6. Step 6: Final answer
    x = 1,843.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.