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Finding the Fourth Proportional to 2,748.54, 4,123.01 and 1,105.09

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Solution

The fourth proportional to 2,748.54, 4,123.01 and 1,105.09 is: 1,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.54 : 4,123.01 = 1,105.09 : x
  2. Step 2: Convert to fraction form
    2,748.54/4,123.01 = 1,105.09/x
  3. Step 3: Cross multiply
    2,748.54x = 4,123.01 × 1,105.09
  4. Step 4: Simplify right side
    2,748.54x = 4,556,297.12
  5. Step 5: Solve for x
    x = 4,556,297.12/2,748.54
  6. Step 6: Final answer
    x = 1,657.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.