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Finding the Fourth Proportional to 2,422.97, 3,634.17 and 668.10

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Solution

The fourth proportional to 2,422.97, 3,634.17 and 668.10 is: 1,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.97 : 3,634.17 = 668.10 : x
  2. Step 2: Convert to fraction form
    2,422.97/3,634.17 = 668.10/x
  3. Step 3: Cross multiply
    2,422.97x = 3,634.17 × 668.10
  4. Step 4: Simplify right side
    2,422.97x = 2,427,988.98
  5. Step 5: Solve for x
    x = 2,427,988.98/2,422.97
  6. Step 6: Final answer
    x = 1,002.07

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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.