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Finding the Fourth Proportional to 2,606.92, 3,910.56 and 758.04

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Solution

The fourth proportional to 2,606.92, 3,910.56 and 758.04 is: 1,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.92 : 3,910.56 = 758.04 : x
  2. Step 2: Convert to fraction form
    2,606.92/3,910.56 = 758.04/x
  3. Step 3: Cross multiply
    2,606.92x = 3,910.56 × 758.04
  4. Step 4: Simplify right side
    2,606.92x = 2,964,360.90
  5. Step 5: Solve for x
    x = 2,964,360.90/2,606.92
  6. Step 6: Final answer
    x = 1,137.11

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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.