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Finding the Fourth Proportional to 2,748.69, 4,122.26 and 1,166.87

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Solution

The fourth proportional to 2,748.69, 4,122.26 and 1,166.87 is: 1,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.69 : 4,122.26 = 1,166.87 : x
  2. Step 2: Convert to fraction form
    2,748.69/4,122.26 = 1,166.87/x
  3. Step 3: Cross multiply
    2,748.69x = 4,122.26 × 1,166.87
  4. Step 4: Simplify right side
    2,748.69x = 4,810,115.08
  5. Step 5: Solve for x
    x = 4,810,115.08/2,748.69
  6. Step 6: Final answer
    x = 1,749.97

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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.