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Finding the Fourth Proportional to 1,910.68, 2,866.17 and 815.05

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Solution

The fourth proportional to 1,910.68, 2,866.17 and 815.05 is: 1,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.68 : 2,866.17 = 815.05 : x
  2. Step 2: Convert to fraction form
    1,910.68/2,866.17 = 815.05/x
  3. Step 3: Cross multiply
    1,910.68x = 2,866.17 × 815.05
  4. Step 4: Simplify right side
    1,910.68x = 2,336,067.78
  5. Step 5: Solve for x
    x = 2,336,067.78/1,910.68
  6. Step 6: Final answer
    x = 1,222.64

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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.