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Finding the Fourth Proportional to 2,512.96, 3,466.98 and 1,517.50

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Solution

The fourth proportional to 2,512.96, 3,466.98 and 1,517.50 is: 2,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.96 : 3,466.98 = 1,517.50 : x
  2. Step 2: Convert to fraction form
    2,512.96/3,466.98 = 1,517.50/x
  3. Step 3: Cross multiply
    2,512.96x = 3,466.98 × 1,517.50
  4. Step 4: Simplify right side
    2,512.96x = 5,261,142.15
  5. Step 5: Solve for x
    x = 5,261,142.15/2,512.96
  6. Step 6: Final answer
    x = 2,093.60

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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.