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Finding the Fourth Proportional to 2,202.20, 3,304.60 and 816.52

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Solution

The fourth proportional to 2,202.20, 3,304.60 and 816.52 is: 1,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.20 : 3,304.60 = 816.52 : x
  2. Step 2: Convert to fraction form
    2,202.20/3,304.60 = 816.52/x
  3. Step 3: Cross multiply
    2,202.20x = 3,304.60 × 816.52
  4. Step 4: Simplify right side
    2,202.20x = 2,698,271.99
  5. Step 5: Solve for x
    x = 2,698,271.99/2,202.20
  6. Step 6: Final answer
    x = 1,225.26

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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.