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Finding the Fourth Proportional to 2,342.85, 3,231.78 and 1,503.26

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Solution

The fourth proportional to 2,342.85, 3,231.78 and 1,503.26 is: 2,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.85 : 3,231.78 = 1,503.26 : x
  2. Step 2: Convert to fraction form
    2,342.85/3,231.78 = 1,503.26/x
  3. Step 3: Cross multiply
    2,342.85x = 3,231.78 × 1,503.26
  4. Step 4: Simplify right side
    2,342.85x = 4,858,189.44
  5. Step 5: Solve for x
    x = 4,858,189.44/2,342.85
  6. Step 6: Final answer
    x = 2,073.62

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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.