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Finding the Fourth Proportional to 2,675.09, 3,691.71 and 1,496.21

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Solution

The fourth proportional to 2,675.09, 3,691.71 and 1,496.21 is: 2,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.09 : 3,691.71 = 1,496.21 : x
  2. Step 2: Convert to fraction form
    2,675.09/3,691.71 = 1,496.21/x
  3. Step 3: Cross multiply
    2,675.09x = 3,691.71 × 1,496.21
  4. Step 4: Simplify right side
    2,675.09x = 5,523,554.96
  5. Step 5: Solve for x
    x = 5,523,554.96/2,675.09
  6. Step 6: Final answer
    x = 2,064.81

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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.