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Finding the Fourth Proportional to 3,107.72, 4,660.59 and 1,027.34

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Solution

The fourth proportional to 3,107.72, 4,660.59 and 1,027.34 is: 1,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.72 : 4,660.59 = 1,027.34 : x
  2. Step 2: Convert to fraction form
    3,107.72/4,660.59 = 1,027.34/x
  3. Step 3: Cross multiply
    3,107.72x = 4,660.59 × 1,027.34
  4. Step 4: Simplify right side
    3,107.72x = 4,788,004.70
  5. Step 5: Solve for x
    x = 4,788,004.70/3,107.72
  6. Step 6: Final answer
    x = 1,540.68

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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.