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Finding the Fourth Proportional to 1,736.32, 2,604.51 and 640.12

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Solution

The fourth proportional to 1,736.32, 2,604.51 and 640.12 is: 960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.32 : 2,604.51 = 640.12 : x
  2. Step 2: Convert to fraction form
    1,736.32/2,604.51 = 640.12/x
  3. Step 3: Cross multiply
    1,736.32x = 2,604.51 × 640.12
  4. Step 4: Simplify right side
    1,736.32x = 1,667,198.94
  5. Step 5: Solve for x
    x = 1,667,198.94/1,736.32
  6. Step 6: Final answer
    x = 960.19

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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.