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Finding the Fourth Proportional to 2,672.75, 3,689.57 and 1,837.77

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Solution

The fourth proportional to 2,672.75, 3,689.57 and 1,837.77 is: 2,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.75 : 3,689.57 = 1,837.77 : x
  2. Step 2: Convert to fraction form
    2,672.75/3,689.57 = 1,837.77/x
  3. Step 3: Cross multiply
    2,672.75x = 3,689.57 × 1,837.77
  4. Step 4: Simplify right side
    2,672.75x = 6,780,571.87
  5. Step 5: Solve for x
    x = 6,780,571.87/2,672.75
  6. Step 6: Final answer
    x = 2,536.93

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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.