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Finding the Fourth Proportional to 2,338.53, 3,227.84 and 1,382.33

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Solution

The fourth proportional to 2,338.53, 3,227.84 and 1,382.33 is: 1,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.53 : 3,227.84 = 1,382.33 : x
  2. Step 2: Convert to fraction form
    2,338.53/3,227.84 = 1,382.33/x
  3. Step 3: Cross multiply
    2,338.53x = 3,227.84 × 1,382.33
  4. Step 4: Simplify right side
    2,338.53x = 4,461,917.02
  5. Step 5: Solve for x
    x = 4,461,917.02/2,338.53
  6. Step 6: Final answer
    x = 1,908.00

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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.