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Finding the Fourth Proportional to 2,606.92, 3,910.56 and 758.05

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Solution

The fourth proportional to 2,606.92, 3,910.56 and 758.05 is: 1,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.92 : 3,910.56 = 758.05 : x
  2. Step 2: Convert to fraction form
    2,606.92/3,910.56 = 758.05/x
  3. Step 3: Cross multiply
    2,606.92x = 3,910.56 × 758.05
  4. Step 4: Simplify right side
    2,606.92x = 2,964,400.01
  5. Step 5: Solve for x
    x = 2,964,400.01/2,606.92
  6. Step 6: Final answer
    x = 1,137.13

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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.