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Finding the Fourth Proportional to 3,101.97, 4,651.72 and 1,369.38

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Solution

The fourth proportional to 3,101.97, 4,651.72 and 1,369.38 is: 2,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.97 : 4,651.72 = 1,369.38 : x
  2. Step 2: Convert to fraction form
    3,101.97/4,651.72 = 1,369.38/x
  3. Step 3: Cross multiply
    3,101.97x = 4,651.72 × 1,369.38
  4. Step 4: Simplify right side
    3,101.97x = 6,369,972.33
  5. Step 5: Solve for x
    x = 6,369,972.33/3,101.97
  6. Step 6: Final answer
    x = 2,053.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.