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Finding the Fourth Proportional to 2,606.55, 3,909.21 and 757.25

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Solution

The fourth proportional to 2,606.55, 3,909.21 and 757.25 is: 1,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.55 : 3,909.21 = 757.25 : x
  2. Step 2: Convert to fraction form
    2,606.55/3,909.21 = 757.25/x
  3. Step 3: Cross multiply
    2,606.55x = 3,909.21 × 757.25
  4. Step 4: Simplify right side
    2,606.55x = 2,960,249.27
  5. Step 5: Solve for x
    x = 2,960,249.27/2,606.55
  6. Step 6: Final answer
    x = 1,135.70

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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.