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Finding the Fourth Proportional to 1,245.06, 1,863.54 and 1,202.22

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Solution

The fourth proportional to 1,245.06, 1,863.54 and 1,202.22 is: 1,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.06 : 1,863.54 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    1,245.06/1,863.54 = 1,202.22/x
  3. Step 3: Cross multiply
    1,245.06x = 1,863.54 × 1,202.22
  4. Step 4: Simplify right side
    1,245.06x = 2,240,385.06
  5. Step 5: Solve for x
    x = 2,240,385.06/1,245.06
  6. Step 6: Final answer
    x = 1,799.42

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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.