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Finding the Fourth Proportional to 2,748.58, 3,789.72 and 2,149.54

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Solution

The fourth proportional to 2,748.58, 3,789.72 and 2,149.54 is: 2,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.58 : 3,789.72 = 2,149.54 : x
  2. Step 2: Convert to fraction form
    2,748.58/3,789.72 = 2,149.54/x
  3. Step 3: Cross multiply
    2,748.58x = 3,789.72 × 2,149.54
  4. Step 4: Simplify right side
    2,748.58x = 8,146,154.73
  5. Step 5: Solve for x
    x = 8,146,154.73/2,748.58
  6. Step 6: Final answer
    x = 2,963.77

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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.