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Finding the Fourth Proportional to 1,736.37, 2,604.47 and 640.66

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Solution

The fourth proportional to 1,736.37, 2,604.47 and 640.66 is: 960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.37 : 2,604.47 = 640.66 : x
  2. Step 2: Convert to fraction form
    1,736.37/2,604.47 = 640.66/x
  3. Step 3: Cross multiply
    1,736.37x = 2,604.47 × 640.66
  4. Step 4: Simplify right side
    1,736.37x = 1,668,579.75
  5. Step 5: Solve for x
    x = 1,668,579.75/1,736.37
  6. Step 6: Final answer
    x = 960.96

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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.