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Finding the Fourth Proportional to 2,207.00, 3,310.27 and 746.11

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Solution

The fourth proportional to 2,207.00, 3,310.27 and 746.11 is: 1,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.00 : 3,310.27 = 746.11 : x
  2. Step 2: Convert to fraction form
    2,207.00/3,310.27 = 746.11/x
  3. Step 3: Cross multiply
    2,207.00x = 3,310.27 × 746.11
  4. Step 4: Simplify right side
    2,207.00x = 2,469,827.82
  5. Step 5: Solve for x
    x = 2,469,827.82/2,207.00
  6. Step 6: Final answer
    x = 1,119.09

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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.