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Finding the Fourth Proportional to 2,072.61, 3,103.92 and 1,329.57

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Solution

The fourth proportional to 2,072.61, 3,103.92 and 1,329.57 is: 1,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.61 : 3,103.92 = 1,329.57 : x
  2. Step 2: Convert to fraction form
    2,072.61/3,103.92 = 1,329.57/x
  3. Step 3: Cross multiply
    2,072.61x = 3,103.92 × 1,329.57
  4. Step 4: Simplify right side
    2,072.61x = 4,126,878.91
  5. Step 5: Solve for x
    x = 4,126,878.91/2,072.61
  6. Step 6: Final answer
    x = 1,991.15

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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.