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Finding the Fourth Proportional to 1,220.40, 1,819.80 and 1,171.80

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Solution

The fourth proportional to 1,220.40, 1,819.80 and 1,171.80 is: 1,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.40 : 1,819.80 = 1,171.80 : x
  2. Step 2: Convert to fraction form
    1,220.40/1,819.80 = 1,171.80/x
  3. Step 3: Cross multiply
    1,220.40x = 1,819.80 × 1,171.80
  4. Step 4: Simplify right side
    1,220.40x = 2,132,441.64
  5. Step 5: Solve for x
    x = 2,132,441.64/1,220.40
  6. Step 6: Final answer
    x = 1,747.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.