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Finding the Fourth Proportional to 2,842.54, 4,264.26 and 1,199.56

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Solution

The fourth proportional to 2,842.54, 4,264.26 and 1,199.56 is: 1,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.54 : 4,264.26 = 1,199.56 : x
  2. Step 2: Convert to fraction form
    2,842.54/4,264.26 = 1,199.56/x
  3. Step 3: Cross multiply
    2,842.54x = 4,264.26 × 1,199.56
  4. Step 4: Simplify right side
    2,842.54x = 5,115,235.73
  5. Step 5: Solve for x
    x = 5,115,235.73/2,842.54
  6. Step 6: Final answer
    x = 1,799.53

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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.