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Finding the Fourth Proportional to 2,634.68, 3,636.36 and 1,736.84

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Solution

The fourth proportional to 2,634.68, 3,636.36 and 1,736.84 is: 2,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.68 : 3,636.36 = 1,736.84 : x
  2. Step 2: Convert to fraction form
    2,634.68/3,636.36 = 1,736.84/x
  3. Step 3: Cross multiply
    2,634.68x = 3,636.36 × 1,736.84
  4. Step 4: Simplify right side
    2,634.68x = 6,315,766.82
  5. Step 5: Solve for x
    x = 6,315,766.82/2,634.68
  6. Step 6: Final answer
    x = 2,397.17

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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.