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Finding the Fourth Proportional to 2,548.98, 3,517.42 and 1,414.64

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Solution

The fourth proportional to 2,548.98, 3,517.42 and 1,414.64 is: 1,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.98 : 3,517.42 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    2,548.98/3,517.42 = 1,414.64/x
  3. Step 3: Cross multiply
    2,548.98x = 3,517.42 × 1,414.64
  4. Step 4: Simplify right side
    2,548.98x = 4,975,883.03
  5. Step 5: Solve for x
    x = 4,975,883.03/2,548.98
  6. Step 6: Final answer
    x = 1,952.11

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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.