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Finding the Fourth Proportional to 2,217.09, 3,326 and 830.91

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Solution

The fourth proportional to 2,217.09, 3,326 and 830.91 is: 1,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.09 : 3,326 = 830.91 : x
  2. Step 2: Convert to fraction form
    2,217.09/3,326 = 830.91/x
  3. Step 3: Cross multiply
    2,217.09x = 3,326 × 830.91
  4. Step 4: Simplify right side
    2,217.09x = 2,763,606.66
  5. Step 5: Solve for x
    x = 2,763,606.66/2,217.09
  6. Step 6: Final answer
    x = 1,246.50

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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.