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Finding the Fourth Proportional to 2,327.76, 3,498.84 and 2,212.56

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Solution

The fourth proportional to 2,327.76, 3,498.84 and 2,212.56 is: 3,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.76 : 3,498.84 = 2,212.56 : x
  2. Step 2: Convert to fraction form
    2,327.76/3,498.84 = 2,212.56/x
  3. Step 3: Cross multiply
    2,327.76x = 3,498.84 × 2,212.56
  4. Step 4: Simplify right side
    2,327.76x = 7,741,393.43
  5. Step 5: Solve for x
    x = 7,741,393.43/2,327.76
  6. Step 6: Final answer
    x = 3,325.68

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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.