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Finding the Fourth Proportional to 2,699.34, 3,729.39 and 2,255.82

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Solution

The fourth proportional to 2,699.34, 3,729.39 and 2,255.82 is: 3,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.34 : 3,729.39 = 2,255.82 : x
  2. Step 2: Convert to fraction form
    2,699.34/3,729.39 = 2,255.82/x
  3. Step 3: Cross multiply
    2,699.34x = 3,729.39 × 2,255.82
  4. Step 4: Simplify right side
    2,699.34x = 8,412,832.55
  5. Step 5: Solve for x
    x = 8,412,832.55/2,699.34
  6. Step 6: Final answer
    x = 3,116.63

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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.