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Finding the Fourth Proportional to 2,434.87, 3,651.78 and 769.12

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Solution

The fourth proportional to 2,434.87, 3,651.78 and 769.12 is: 1,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.87 : 3,651.78 = 769.12 : x
  2. Step 2: Convert to fraction form
    2,434.87/3,651.78 = 769.12/x
  3. Step 3: Cross multiply
    2,434.87x = 3,651.78 × 769.12
  4. Step 4: Simplify right side
    2,434.87x = 2,808,667.75
  5. Step 5: Solve for x
    x = 2,808,667.75/2,434.87
  6. Step 6: Final answer
    x = 1,153.52

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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.