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Finding the Fourth Proportional to 2,512.88, 3,770.16 and 1,763.17

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Solution

The fourth proportional to 2,512.88, 3,770.16 and 1,763.17 is: 2,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.88 : 3,770.16 = 1,763.17 : x
  2. Step 2: Convert to fraction form
    2,512.88/3,770.16 = 1,763.17/x
  3. Step 3: Cross multiply
    2,512.88x = 3,770.16 × 1,763.17
  4. Step 4: Simplify right side
    2,512.88x = 6,647,433.01
  5. Step 5: Solve for x
    x = 6,647,433.01/2,512.88
  6. Step 6: Final answer
    x = 2,645.34

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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.