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Finding the Fourth Proportional to 2,137.68, 3,207.83 and 906.08

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Solution

The fourth proportional to 2,137.68, 3,207.83 and 906.08 is: 1,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.68 : 3,207.83 = 906.08 : x
  2. Step 2: Convert to fraction form
    2,137.68/3,207.83 = 906.08/x
  3. Step 3: Cross multiply
    2,137.68x = 3,207.83 × 906.08
  4. Step 4: Simplify right side
    2,137.68x = 2,906,530.04
  5. Step 5: Solve for x
    x = 2,906,530.04/2,137.68
  6. Step 6: Final answer
    x = 1,359.67

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Why These Related Problems?

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