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Finding the Fourth Proportional to 3,106.90, 4,659.54 and 1,027.09

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Solution

The fourth proportional to 3,106.90, 4,659.54 and 1,027.09 is: 1,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.90 : 4,659.54 = 1,027.09 : x
  2. Step 2: Convert to fraction form
    3,106.90/4,659.54 = 1,027.09/x
  3. Step 3: Cross multiply
    3,106.90x = 4,659.54 × 1,027.09
  4. Step 4: Simplify right side
    3,106.90x = 4,785,766.94
  5. Step 5: Solve for x
    x = 4,785,766.94/3,106.90
  6. Step 6: Final answer
    x = 1,540.37

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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.