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Finding the Fourth Proportional to 1,233.20, 1,849.78 and 1,202.22

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Solution

The fourth proportional to 1,233.20, 1,849.78 and 1,202.22 is: 1,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.20 : 1,849.78 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    1,233.20/1,849.78 = 1,202.22/x
  3. Step 3: Cross multiply
    1,233.20x = 1,849.78 × 1,202.22
  4. Step 4: Simplify right side
    1,233.20x = 2,223,842.51
  5. Step 5: Solve for x
    x = 2,223,842.51/1,233.20
  6. Step 6: Final answer
    x = 1,803.31

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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.