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Finding the Fourth Proportional to 2,675.42, 3,691.50 and 1,496.46

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Solution

The fourth proportional to 2,675.42, 3,691.50 and 1,496.46 is: 2,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.42 : 3,691.50 = 1,496.46 : x
  2. Step 2: Convert to fraction form
    2,675.42/3,691.50 = 1,496.46/x
  3. Step 3: Cross multiply
    2,675.42x = 3,691.50 × 1,496.46
  4. Step 4: Simplify right side
    2,675.42x = 5,524,182.09
  5. Step 5: Solve for x
    x = 5,524,182.09/2,675.42
  6. Step 6: Final answer
    x = 2,064.79

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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.