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Finding the Fourth Proportional to 2,536.82, 3,803.67 and 893.55

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Solution

The fourth proportional to 2,536.82, 3,803.67 and 893.55 is: 1,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.82 : 3,803.67 = 893.55 : x
  2. Step 2: Convert to fraction form
    2,536.82/3,803.67 = 893.55/x
  3. Step 3: Cross multiply
    2,536.82x = 3,803.67 × 893.55
  4. Step 4: Simplify right side
    2,536.82x = 3,398,769.33
  5. Step 5: Solve for x
    x = 3,398,769.33/2,536.82
  6. Step 6: Final answer
    x = 1,339.78

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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.