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Finding the Fourth Proportional to 2,605.57, 3,908.92 and 756.75

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Solution

The fourth proportional to 2,605.57, 3,908.92 and 756.75 is: 1,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.57 : 3,908.92 = 756.75 : x
  2. Step 2: Convert to fraction form
    2,605.57/3,908.92 = 756.75/x
  3. Step 3: Cross multiply
    2,605.57x = 3,908.92 × 756.75
  4. Step 4: Simplify right side
    2,605.57x = 2,958,075.21
  5. Step 5: Solve for x
    x = 2,958,075.21/2,605.57
  6. Step 6: Final answer
    x = 1,135.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.