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Finding the Fourth Proportional to 2,685.08, 4,026.89 and 736.82

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Solution

The fourth proportional to 2,685.08, 4,026.89 and 736.82 is: 1,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.08 : 4,026.89 = 736.82 : x
  2. Step 2: Convert to fraction form
    2,685.08/4,026.89 = 736.82/x
  3. Step 3: Cross multiply
    2,685.08x = 4,026.89 × 736.82
  4. Step 4: Simplify right side
    2,685.08x = 2,967,093.09
  5. Step 5: Solve for x
    x = 2,967,093.09/2,685.08
  6. Step 6: Final answer
    x = 1,105.03

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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.