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Finding the Fourth Proportional to 2,733.68, 3,772.44 and 1,538.66

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Solution

The fourth proportional to 2,733.68, 3,772.44 and 1,538.66 is: 2,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.68 : 3,772.44 = 1,538.66 : x
  2. Step 2: Convert to fraction form
    2,733.68/3,772.44 = 1,538.66/x
  3. Step 3: Cross multiply
    2,733.68x = 3,772.44 × 1,538.66
  4. Step 4: Simplify right side
    2,733.68x = 5,804,508.30
  5. Step 5: Solve for x
    x = 5,804,508.30/2,733.68
  6. Step 6: Final answer
    x = 2,123.33

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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.