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Finding the Fourth Proportional to 2,672.25, 3,688.87 and 1,837.26

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Solution

The fourth proportional to 2,672.25, 3,688.87 and 1,837.26 is: 2,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.25 : 3,688.87 = 1,837.26 : x
  2. Step 2: Convert to fraction form
    2,672.25/3,688.87 = 1,837.26/x
  3. Step 3: Cross multiply
    2,672.25x = 3,688.87 × 1,837.26
  4. Step 4: Simplify right side
    2,672.25x = 6,777,413.30
  5. Step 5: Solve for x
    x = 6,777,413.30/2,672.25
  6. Step 6: Final answer
    x = 2,536.22

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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.