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Finding the Fourth Proportional to 2,605.10, 3,908.27 and 756.41

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Solution

The fourth proportional to 2,605.10, 3,908.27 and 756.41 is: 1,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.10 : 3,908.27 = 756.41 : x
  2. Step 2: Convert to fraction form
    2,605.10/3,908.27 = 756.41/x
  3. Step 3: Cross multiply
    2,605.10x = 3,908.27 × 756.41
  4. Step 4: Simplify right side
    2,605.10x = 2,956,231.19
  5. Step 5: Solve for x
    x = 2,956,231.19/2,605.10
  6. Step 6: Final answer
    x = 1,134.78

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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.