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Finding the Fourth Proportional to 1,909.46, 2,866.02 and 1,180.46

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Solution

The fourth proportional to 1,909.46, 2,866.02 and 1,180.46 is: 1,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.46 : 2,866.02 = 1,180.46 : x
  2. Step 2: Convert to fraction form
    1,909.46/2,866.02 = 1,180.46/x
  3. Step 3: Cross multiply
    1,909.46x = 2,866.02 × 1,180.46
  4. Step 4: Simplify right side
    1,909.46x = 3,383,221.97
  5. Step 5: Solve for x
    x = 3,383,221.97/1,909.46
  6. Step 6: Final answer
    x = 1,771.82

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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.