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Finding the Fourth Proportional to 2,327.24, 3,491.46 and 683.72

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Solution

The fourth proportional to 2,327.24, 3,491.46 and 683.72 is: 1,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.24 : 3,491.46 = 683.72 : x
  2. Step 2: Convert to fraction form
    2,327.24/3,491.46 = 683.72/x
  3. Step 3: Cross multiply
    2,327.24x = 3,491.46 × 683.72
  4. Step 4: Simplify right side
    2,327.24x = 2,387,181.03
  5. Step 5: Solve for x
    x = 2,387,181.03/2,327.24
  6. Step 6: Final answer
    x = 1,025.76

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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.