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Finding the Fourth Proportional to 2,137.16, 3,206.18 and 1,213.16

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Solution

The fourth proportional to 2,137.16, 3,206.18 and 1,213.16 is: 1,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.16 : 3,206.18 = 1,213.16 : x
  2. Step 2: Convert to fraction form
    2,137.16/3,206.18 = 1,213.16/x
  3. Step 3: Cross multiply
    2,137.16x = 3,206.18 × 1,213.16
  4. Step 4: Simplify right side
    2,137.16x = 3,889,609.33
  5. Step 5: Solve for x
    x = 3,889,609.33/2,137.16
  6. Step 6: Final answer
    x = 1,819.99

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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.