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Finding the Fourth Proportional to 2,632.36, 3,633.84 and 1,736.63

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Solution

The fourth proportional to 2,632.36, 3,633.84 and 1,736.63 is: 2,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.36 : 3,633.84 = 1,736.63 : x
  2. Step 2: Convert to fraction form
    2,632.36/3,633.84 = 1,736.63/x
  3. Step 3: Cross multiply
    2,632.36x = 3,633.84 × 1,736.63
  4. Step 4: Simplify right side
    2,632.36x = 6,310,635.56
  5. Step 5: Solve for x
    x = 6,310,635.56/2,632.36
  6. Step 6: Final answer
    x = 2,397.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.