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Finding the Fourth Proportional to 2,679.88, 3,696.72 and 2,380.48

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Solution

The fourth proportional to 2,679.88, 3,696.72 and 2,380.48 is: 3,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.88 : 3,696.72 = 2,380.48 : x
  2. Step 2: Convert to fraction form
    2,679.88/3,696.72 = 2,380.48/x
  3. Step 3: Cross multiply
    2,679.88x = 3,696.72 × 2,380.48
  4. Step 4: Simplify right side
    2,679.88x = 8,799,968.03
  5. Step 5: Solve for x
    x = 8,799,968.03/2,679.88
  6. Step 6: Final answer
    x = 3,283.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.