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Finding the Fourth Proportional to 2,327.59, 3,491.43 and 1,863.21

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Solution

The fourth proportional to 2,327.59, 3,491.43 and 1,863.21 is: 2,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.59 : 3,491.43 = 1,863.21 : x
  2. Step 2: Convert to fraction form
    2,327.59/3,491.43 = 1,863.21/x
  3. Step 3: Cross multiply
    2,327.59x = 3,491.43 × 1,863.21
  4. Step 4: Simplify right side
    2,327.59x = 6,505,267.29
  5. Step 5: Solve for x
    x = 6,505,267.29/2,327.59
  6. Step 6: Final answer
    x = 2,794.85

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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.