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Finding the Fourth Proportional to 2,608.38, 3,913.68 and 1,731.18

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Solution

The fourth proportional to 2,608.38, 3,913.68 and 1,731.18 is: 2,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.38 : 3,913.68 = 1,731.18 : x
  2. Step 2: Convert to fraction form
    2,608.38/3,913.68 = 1,731.18/x
  3. Step 3: Cross multiply
    2,608.38x = 3,913.68 × 1,731.18
  4. Step 4: Simplify right side
    2,608.38x = 6,775,284.54
  5. Step 5: Solve for x
    x = 6,775,284.54/2,608.38
  6. Step 6: Final answer
    x = 2,597.51

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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.