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Finding the Fourth Proportional to 2,372.58, 3,559.02 and 911.82

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Solution

The fourth proportional to 2,372.58, 3,559.02 and 911.82 is: 1,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.58 : 3,559.02 = 911.82 : x
  2. Step 2: Convert to fraction form
    2,372.58/3,559.02 = 911.82/x
  3. Step 3: Cross multiply
    2,372.58x = 3,559.02 × 911.82
  4. Step 4: Simplify right side
    2,372.58x = 3,245,185.62
  5. Step 5: Solve for x
    x = 3,245,185.62/2,372.58
  6. Step 6: Final answer
    x = 1,367.79

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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.