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Finding the Fourth Proportional to 2,549.93, 3,517.29 and 1,842.82

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Solution

The fourth proportional to 2,549.93, 3,517.29 and 1,842.82 is: 2,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.93 : 3,517.29 = 1,842.82 : x
  2. Step 2: Convert to fraction form
    2,549.93/3,517.29 = 1,842.82/x
  3. Step 3: Cross multiply
    2,549.93x = 3,517.29 × 1,842.82
  4. Step 4: Simplify right side
    2,549.93x = 6,481,723.56
  5. Step 5: Solve for x
    x = 6,481,723.56/2,549.93
  6. Step 6: Final answer
    x = 2,541.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.