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Finding the Fourth Proportional to 2,105.94, 2,908.26 and 1,736.58

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Solution

The fourth proportional to 2,105.94, 2,908.26 and 1,736.58 is: 2,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.94 : 2,908.26 = 1,736.58 : x
  2. Step 2: Convert to fraction form
    2,105.94/2,908.26 = 1,736.58/x
  3. Step 3: Cross multiply
    2,105.94x = 2,908.26 × 1,736.58
  4. Step 4: Simplify right side
    2,105.94x = 5,050,426.15
  5. Step 5: Solve for x
    x = 5,050,426.15/2,105.94
  6. Step 6: Final answer
    x = 2,398.18

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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.