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Finding the Fourth Proportional to 2,675.14, 3,691.83 and 1,496.14

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Solution

The fourth proportional to 2,675.14, 3,691.83 and 1,496.14 is: 2,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.14 : 3,691.83 = 1,496.14 : x
  2. Step 2: Convert to fraction form
    2,675.14/3,691.83 = 1,496.14/x
  3. Step 3: Cross multiply
    2,675.14x = 3,691.83 × 1,496.14
  4. Step 4: Simplify right side
    2,675.14x = 5,523,494.54
  5. Step 5: Solve for x
    x = 5,523,494.54/2,675.14
  6. Step 6: Final answer
    x = 2,064.75

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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.