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Finding the Fourth Proportional to 2,679.32, 3,698.56 and 2,304.80

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Solution

The fourth proportional to 2,679.32, 3,698.56 and 2,304.80 is: 3,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.32 : 3,698.56 = 2,304.80 : x
  2. Step 2: Convert to fraction form
    2,679.32/3,698.56 = 2,304.80/x
  3. Step 3: Cross multiply
    2,679.32x = 3,698.56 × 2,304.80
  4. Step 4: Simplify right side
    2,679.32x = 8,524,441.09
  5. Step 5: Solve for x
    x = 8,524,441.09/2,679.32
  6. Step 6: Final answer
    x = 3,181.57

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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.