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Finding the Fourth Proportional to 2,675.31, 3,691.86 and 1,496.40

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Solution

The fourth proportional to 2,675.31, 3,691.86 and 1,496.40 is: 2,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.31 : 3,691.86 = 1,496.40 : x
  2. Step 2: Convert to fraction form
    2,675.31/3,691.86 = 1,496.40/x
  3. Step 3: Cross multiply
    2,675.31x = 3,691.86 × 1,496.40
  4. Step 4: Simplify right side
    2,675.31x = 5,524,499.30
  5. Step 5: Solve for x
    x = 5,524,499.30/2,675.31
  6. Step 6: Final answer
    x = 2,064.99

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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.