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Finding the Fourth Proportional to 2,748.87, 4,122.77 and 801.09

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Solution

The fourth proportional to 2,748.87, 4,122.77 and 801.09 is: 1,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.87 : 4,122.77 = 801.09 : x
  2. Step 2: Convert to fraction form
    2,748.87/4,122.77 = 801.09/x
  3. Step 3: Cross multiply
    2,748.87x = 4,122.77 × 801.09
  4. Step 4: Simplify right side
    2,748.87x = 3,302,705.81
  5. Step 5: Solve for x
    x = 3,302,705.81/2,748.87
  6. Step 6: Final answer
    x = 1,201.48

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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.