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Finding the Fourth Proportional to 2,418.24, 3,627.09 and 686.82

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Solution

The fourth proportional to 2,418.24, 3,627.09 and 686.82 is: 1,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.24 : 3,627.09 = 686.82 : x
  2. Step 2: Convert to fraction form
    2,418.24/3,627.09 = 686.82/x
  3. Step 3: Cross multiply
    2,418.24x = 3,627.09 × 686.82
  4. Step 4: Simplify right side
    2,418.24x = 2,491,157.95
  5. Step 5: Solve for x
    x = 2,491,157.95/2,418.24
  6. Step 6: Final answer
    x = 1,030.15

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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.