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Finding the Fourth Proportional to 2,606.75, 3,909.17 and 757.37

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Solution

The fourth proportional to 2,606.75, 3,909.17 and 757.37 is: 1,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.75 : 3,909.17 = 757.37 : x
  2. Step 2: Convert to fraction form
    2,606.75/3,909.17 = 757.37/x
  3. Step 3: Cross multiply
    2,606.75x = 3,909.17 × 757.37
  4. Step 4: Simplify right side
    2,606.75x = 2,960,670.43
  5. Step 5: Solve for x
    x = 2,960,670.43/2,606.75
  6. Step 6: Final answer
    x = 1,135.77

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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.