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Finding the Fourth Proportional to 2,103.99, 3,154.91 and 1,131.27

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Solution

The fourth proportional to 2,103.99, 3,154.91 and 1,131.27 is: 1,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.99 : 3,154.91 = 1,131.27 : x
  2. Step 2: Convert to fraction form
    2,103.99/3,154.91 = 1,131.27/x
  3. Step 3: Cross multiply
    2,103.99x = 3,154.91 × 1,131.27
  4. Step 4: Simplify right side
    2,103.99x = 3,569,049.38
  5. Step 5: Solve for x
    x = 3,569,049.38/2,103.99
  6. Step 6: Final answer
    x = 1,696.32

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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.