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Finding the Fourth Proportional to 2,327.45, 3,491.20 and 684.03

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Solution

The fourth proportional to 2,327.45, 3,491.20 and 684.03 is: 1,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.45 : 3,491.20 = 684.03 : x
  2. Step 2: Convert to fraction form
    2,327.45/3,491.20 = 684.03/x
  3. Step 3: Cross multiply
    2,327.45x = 3,491.20 × 684.03
  4. Step 4: Simplify right side
    2,327.45x = 2,388,085.54
  5. Step 5: Solve for x
    x = 2,388,085.54/2,327.45
  6. Step 6: Final answer
    x = 1,026.05

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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.