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Finding the Fourth Proportional to 2,434.94, 3,651.59 and 769.05

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Solution

The fourth proportional to 2,434.94, 3,651.59 and 769.05 is: 1,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.94 : 3,651.59 = 769.05 : x
  2. Step 2: Convert to fraction form
    2,434.94/3,651.59 = 769.05/x
  3. Step 3: Cross multiply
    2,434.94x = 3,651.59 × 769.05
  4. Step 4: Simplify right side
    2,434.94x = 2,808,251.44
  5. Step 5: Solve for x
    x = 2,808,251.44/2,434.94
  6. Step 6: Final answer
    x = 1,153.31

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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.