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Finding the Fourth Proportional to 2,675.37, 3,691.98 and 1,496.43

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Solution

The fourth proportional to 2,675.37, 3,691.98 and 1,496.43 is: 2,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.37 : 3,691.98 = 1,496.43 : x
  2. Step 2: Convert to fraction form
    2,675.37/3,691.98 = 1,496.43/x
  3. Step 3: Cross multiply
    2,675.37x = 3,691.98 × 1,496.43
  4. Step 4: Simplify right side
    2,675.37x = 5,524,789.63
  5. Step 5: Solve for x
    x = 5,524,789.63/2,675.37
  6. Step 6: Final answer
    x = 2,065.06

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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.