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Finding the Fourth Proportional to 2,001.48, 2,758.72 and 1,338.08

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Solution

The fourth proportional to 2,001.48, 2,758.72 and 1,338.08 is: 1,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.48 : 2,758.72 = 1,338.08 : x
  2. Step 2: Convert to fraction form
    2,001.48/2,758.72 = 1,338.08/x
  3. Step 3: Cross multiply
    2,001.48x = 2,758.72 × 1,338.08
  4. Step 4: Simplify right side
    2,001.48x = 3,691,388.06
  5. Step 5: Solve for x
    x = 3,691,388.06/2,001.48
  6. Step 6: Final answer
    x = 1,844.33

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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.