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Finding the Fourth Proportional to 2,372.31, 3,559.07 and 911.57

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Solution

The fourth proportional to 2,372.31, 3,559.07 and 911.57 is: 1,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.31 : 3,559.07 = 911.57 : x
  2. Step 2: Convert to fraction form
    2,372.31/3,559.07 = 911.57/x
  3. Step 3: Cross multiply
    2,372.31x = 3,559.07 × 911.57
  4. Step 4: Simplify right side
    2,372.31x = 3,244,341.44
  5. Step 5: Solve for x
    x = 3,244,341.44/2,372.31
  6. Step 6: Final answer
    x = 1,367.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.