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Finding the Fourth Proportional to 2,517.14, 3,775.41 and 668.45

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Solution

The fourth proportional to 2,517.14, 3,775.41 and 668.45 is: 1,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.14 : 3,775.41 = 668.45 : x
  2. Step 2: Convert to fraction form
    2,517.14/3,775.41 = 668.45/x
  3. Step 3: Cross multiply
    2,517.14x = 3,775.41 × 668.45
  4. Step 4: Simplify right side
    2,517.14x = 2,523,682.25
  5. Step 5: Solve for x
    x = 2,523,682.25/2,517.14
  6. Step 6: Final answer
    x = 1,002.60

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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.