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Finding the Fourth Proportional to 3,614.60, 5,415.60 and 1,662.80

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Solution

The fourth proportional to 3,614.60, 5,415.60 and 1,662.80 is: 2,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.60 : 5,415.60 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    3,614.60/5,415.60 = 1,662.80/x
  3. Step 3: Cross multiply
    3,614.60x = 5,415.60 × 1,662.80
  4. Step 4: Simplify right side
    3,614.60x = 9,005,059.68
  5. Step 5: Solve for x
    x = 9,005,059.68/3,614.60
  6. Step 6: Final answer
    x = 2,491.30

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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.