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Finding the Fourth Proportional to 2,012.68, 2,778.69 and 1,267.28

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Solution

The fourth proportional to 2,012.68, 2,778.69 and 1,267.28 is: 1,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.68 : 2,778.69 = 1,267.28 : x
  2. Step 2: Convert to fraction form
    2,012.68/2,778.69 = 1,267.28/x
  3. Step 3: Cross multiply
    2,012.68x = 2,778.69 × 1,267.28
  4. Step 4: Simplify right side
    2,012.68x = 3,521,371.32
  5. Step 5: Solve for x
    x = 3,521,371.32/2,012.68
  6. Step 6: Final answer
    x = 1,749.59

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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.