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Finding the Fourth Proportional to 2,733.78, 3,772.60 and 1,538.82

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Solution

The fourth proportional to 2,733.78, 3,772.60 and 1,538.82 is: 2,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.78 : 3,772.60 = 1,538.82 : x
  2. Step 2: Convert to fraction form
    2,733.78/3,772.60 = 1,538.82/x
  3. Step 3: Cross multiply
    2,733.78x = 3,772.60 × 1,538.82
  4. Step 4: Simplify right side
    2,733.78x = 5,805,352.33
  5. Step 5: Solve for x
    x = 5,805,352.33/2,733.78
  6. Step 6: Final answer
    x = 2,123.56

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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.