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Finding the Fourth Proportional to 2,202.35, 3,303.37 and 815.43

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Solution

The fourth proportional to 2,202.35, 3,303.37 and 815.43 is: 1,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.35 : 3,303.37 = 815.43 : x
  2. Step 2: Convert to fraction form
    2,202.35/3,303.37 = 815.43/x
  3. Step 3: Cross multiply
    2,202.35x = 3,303.37 × 815.43
  4. Step 4: Simplify right side
    2,202.35x = 2,693,662.92
  5. Step 5: Solve for x
    x = 2,693,662.92/2,202.35
  6. Step 6: Final answer
    x = 1,223.09

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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.