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Finding the Fourth Proportional to 2,012.92, 2,778.60 and 1,267.12

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Solution

The fourth proportional to 2,012.92, 2,778.60 and 1,267.12 is: 1,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.92 : 2,778.60 = 1,267.12 : x
  2. Step 2: Convert to fraction form
    2,012.92/2,778.60 = 1,267.12/x
  3. Step 3: Cross multiply
    2,012.92x = 2,778.60 × 1,267.12
  4. Step 4: Simplify right side
    2,012.92x = 3,520,819.63
  5. Step 5: Solve for x
    x = 3,520,819.63/2,012.92
  6. Step 6: Final answer
    x = 1,749.11

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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.