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Finding the Fourth Proportional to 1,910.22, 2,866.41 and 814.47

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Solution

The fourth proportional to 1,910.22, 2,866.41 and 814.47 is: 1,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.22 : 2,866.41 = 814.47 : x
  2. Step 2: Convert to fraction form
    1,910.22/2,866.41 = 814.47/x
  3. Step 3: Cross multiply
    1,910.22x = 2,866.41 × 814.47
  4. Step 4: Simplify right side
    1,910.22x = 2,334,604.95
  5. Step 5: Solve for x
    x = 2,334,604.95/1,910.22
  6. Step 6: Final answer
    x = 1,222.17

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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.