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Finding the Fourth Proportional to 1,910.93, 2,866.07 and 815.13

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Solution

The fourth proportional to 1,910.93, 2,866.07 and 815.13 is: 1,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.93 : 2,866.07 = 815.13 : x
  2. Step 2: Convert to fraction form
    1,910.93/2,866.07 = 815.13/x
  3. Step 3: Cross multiply
    1,910.93x = 2,866.07 × 815.13
  4. Step 4: Simplify right side
    1,910.93x = 2,336,221.68
  5. Step 5: Solve for x
    x = 2,336,221.68/1,910.93
  6. Step 6: Final answer
    x = 1,222.56

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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.