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Finding the Fourth Proportional to 2,842.61, 4,261.86 and 1,198.26

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Solution

The fourth proportional to 2,842.61, 4,261.86 and 1,198.26 is: 1,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.61 : 4,261.86 = 1,198.26 : x
  2. Step 2: Convert to fraction form
    2,842.61/4,261.86 = 1,198.26/x
  3. Step 3: Cross multiply
    2,842.61x = 4,261.86 × 1,198.26
  4. Step 4: Simplify right side
    2,842.61x = 5,106,800.38
  5. Step 5: Solve for x
    x = 5,106,800.38/2,842.61
  6. Step 6: Final answer
    x = 1,796.52

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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.