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Finding the Fourth Proportional to 2,012.92, 2,778.48 and 1,268.32

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Solution

The fourth proportional to 2,012.92, 2,778.48 and 1,268.32 is: 1,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.92 : 2,778.48 = 1,268.32 : x
  2. Step 2: Convert to fraction form
    2,012.92/2,778.48 = 1,268.32/x
  3. Step 3: Cross multiply
    2,012.92x = 2,778.48 × 1,268.32
  4. Step 4: Simplify right side
    2,012.92x = 3,524,001.75
  5. Step 5: Solve for x
    x = 3,524,001.75/2,012.92
  6. Step 6: Final answer
    x = 1,750.69

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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.