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Finding the Fourth Proportional to 1,350.40, 2,020.20 and 1,220.80

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Solution

The fourth proportional to 1,350.40, 2,020.20 and 1,220.80 is: 1,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.40 : 2,020.20 = 1,220.80 : x
  2. Step 2: Convert to fraction form
    1,350.40/2,020.20 = 1,220.80/x
  3. Step 3: Cross multiply
    1,350.40x = 2,020.20 × 1,220.80
  4. Step 4: Simplify right side
    1,350.40x = 2,466,260.16
  5. Step 5: Solve for x
    x = 2,466,260.16/1,350.40
  6. Step 6: Final answer
    x = 1,826.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.