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Finding the Fourth Proportional to 2,546.98, 3,517.70 and 2,151.98

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Solution

The fourth proportional to 2,546.98, 3,517.70 and 2,151.98 is: 2,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.98 : 3,517.70 = 2,151.98 : x
  2. Step 2: Convert to fraction form
    2,546.98/3,517.70 = 2,151.98/x
  3. Step 3: Cross multiply
    2,546.98x = 3,517.70 × 2,151.98
  4. Step 4: Simplify right side
    2,546.98x = 7,570,020.05
  5. Step 5: Solve for x
    x = 7,570,020.05/2,546.98
  6. Step 6: Final answer
    x = 2,972.16

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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.