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Finding the Fourth Proportional to 2,327.96, 3,211.62 and 1,540.64

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Solution

The fourth proportional to 2,327.96, 3,211.62 and 1,540.64 is: 2,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.96 : 3,211.62 = 1,540.64 : x
  2. Step 2: Convert to fraction form
    2,327.96/3,211.62 = 1,540.64/x
  3. Step 3: Cross multiply
    2,327.96x = 3,211.62 × 1,540.64
  4. Step 4: Simplify right side
    2,327.96x = 4,947,952.49
  5. Step 5: Solve for x
    x = 4,947,952.49/2,327.96
  6. Step 6: Final answer
    x = 2,125.44

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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.