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Finding the Fourth Proportional to 2,001.28, 2,760.78 and 1,338.28

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Solution

The fourth proportional to 2,001.28, 2,760.78 and 1,338.28 is: 1,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.28 : 2,760.78 = 1,338.28 : x
  2. Step 2: Convert to fraction form
    2,001.28/2,760.78 = 1,338.28/x
  3. Step 3: Cross multiply
    2,001.28x = 2,760.78 × 1,338.28
  4. Step 4: Simplify right side
    2,001.28x = 3,694,696.66
  5. Step 5: Solve for x
    x = 3,694,696.66/2,001.28
  6. Step 6: Final answer
    x = 1,846.17

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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.