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Finding the Fourth Proportional to 2,842.56, 4,264.02 and 1,198.89

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Solution

The fourth proportional to 2,842.56, 4,264.02 and 1,198.89 is: 1,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.56 : 4,264.02 = 1,198.89 : x
  2. Step 2: Convert to fraction form
    2,842.56/4,264.02 = 1,198.89/x
  3. Step 3: Cross multiply
    2,842.56x = 4,264.02 × 1,198.89
  4. Step 4: Simplify right side
    2,842.56x = 5,112,090.94
  5. Step 5: Solve for x
    x = 5,112,090.94/2,842.56
  6. Step 6: Final answer
    x = 1,798.41

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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.