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Finding the Fourth Proportional to 2,469.90, 3,696.06 and 2,127.30

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Solution

The fourth proportional to 2,469.90, 3,696.06 and 2,127.30 is: 3,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.90 : 3,696.06 = 2,127.30 : x
  2. Step 2: Convert to fraction form
    2,469.90/3,696.06 = 2,127.30/x
  3. Step 3: Cross multiply
    2,469.90x = 3,696.06 × 2,127.30
  4. Step 4: Simplify right side
    2,469.90x = 7,862,628.44
  5. Step 5: Solve for x
    x = 7,862,628.44/2,469.90
  6. Step 6: Final answer
    x = 3,183.38

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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.