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Finding the Fourth Proportional to 2,418.13, 3,627.80 and 686.75

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Solution

The fourth proportional to 2,418.13, 3,627.80 and 686.75 is: 1,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.13 : 3,627.80 = 686.75 : x
  2. Step 2: Convert to fraction form
    2,418.13/3,627.80 = 686.75/x
  3. Step 3: Cross multiply
    2,418.13x = 3,627.80 × 686.75
  4. Step 4: Simplify right side
    2,418.13x = 2,491,391.65
  5. Step 5: Solve for x
    x = 2,491,391.65/2,418.13
  6. Step 6: Final answer
    x = 1,030.30

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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.